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Knot: more books (100)

Untying the Knot of War: A Bargaining Theory of International Crises by Clifton T Morgan, 1994-11-01
Knots and Physics (Knots and Everything) by Louis H. Kauffman, 2001-10
Introductory Lectures on Knot Theory: Selected Lectures Presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology (Series on Knots and Everything)
Knot Theory: Figure-Eight Knot, Unknot, Knot Invariant, Braid Group, Ménage Problem, Crossing Number, Borromean Rings, Alexander Polynomial
Algebraic Topology: Tesseract, Fundamental Group, 3-Sphere, Polychoron, Borsuk-ulam Theorem, Euler Characteristic, Genus, Knot Theory
Introduction to Knot Theory, 1st Edition, 2nd Printing by Fox Ralph H Crowell Richard H, 1965-01-01
Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox, 1963
Knot Theory &Its Applications - 1996 publication by Kuno Murasug, 1996-01-01
Knot Theory (Polish Academy of Sciences; Institute of Mathematics: Banach Center Publications, Volume 42) by V. F. R. Jones, J. Kania-Bartoszynska, et all 1998
The Glass Bead and The Knot Theory of Relationships by Barbara Hero, 1994
Knot Theory: Proceedings, Plans-sur Bex, Switzerland 1977 (Lecture Notes in Mathematics) (English, French and German Edition) (Volume 0)
Knot Theory by Charles Livingston, 2009-01-01
Journal of Knot Theory and its Ramifications, Volume I, Number 1, March 1992 by L. H. Kauffmann, W.B.R. Lickorish, et all 1992
High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics) by Andrew Ranicki, 2010-11-02

lists with details

First KOOK Seminar International For Knot Theory And Related Topics
First KOOK Seminar International for knot theory and Related Topics this conference has concerned lots of recent topics on knot theory and I believe
http://math01.sci.osaka-cu.ac.jp/21COE/symposium/KOOKseminarInternationalJuly200

Extractions: Hyogo International Association Organizers: T. Kanenobu, A. Kawauchi, Y. Nakanishi, Y. Rieck, M. Sakuma KOOK Seminar is a seminar monthly held which is organized by members in Kobe University, Osaka City University, Osaka University, Kwansei Gakuin University and Nara Women's University for more than twenty years. We have also an seminar annually held which we call Extended KOOK Seminar. This conference is an international version of KOOK Seminar. The aim of this conference is to promote academic challenges, cooperations, exchanges and understandings on the research area of knot theory and related topics. The number of participants was 123 (Japan 77, U.S.A. 20, Korea 10, India 2, Canada 2, Russia 2, Australia 2, China 2, Italy 2, France 2, U.K. 1, Mexico 1). In the plenary session 14 lectures of 40 minutes and in the parallel session 40 lectures of 20 minutes were delivered.
International Graduate Course Student Workshop For Knot Theory And Related Topic
The aim is to encourage graduate course students studying knot theory and related topics. KOOK Seminar International for knot theory and Related Topics
http://math01.sci.osaka-cu.ac.jp/21COE/symposium/PhDStudentWorkshopJuly2004.html

Extractions: The sponsor of this international workshop was the 21st century COE program "Constitution for wide-angle mathematical basis focused on knots" (whose program leader is Akio Kawauchi). As co-sponsors, Core Study Program of Osaka City University and Osaka City University Advanced Mathematical Institute(OCAMI) also supported this workshop. There were 21 invited talks with 30 minutes for each talk. All speakers were graduate course students recommended by some international experts of this research area. As one can see from their abstracts of this website, the contents of their talks were in high levels, and I am convinced that speakers will have great successes in near future. In this workshop, I would like to thank not only speakers, but also Dr. Daniel Silver, Dr. Susan Williams, Dr. Rama Mishra, Dr. Alexander Stoimenow, Dr. Yoav Rieck, who were temporary members of OCAMI, and Dr. Taizo Kenenobu and Dr. Tsukasa Yashiro. Without help of them, this workshop could not have succeeded.
Conference "Combinatorial Methods In Physics And Knot Theory" (Moscow, February
Combinatorial Methods in Physics and knot theory . Independent University (4th floor), 119002, Bolshoy Vlasyevskiy Pereulok 11,
http://www.mccme.ru/conf_feb_05/

Extractions: "Combinatorial Methods in Physics and Knot Theory" Independent University (4th floor), 119002, Bolshoy Vlasyevskiy Pereulok 11, A. Sossinsky (president), G. Koshevoy, S. Polukhina (secretary) G. Koshevoy (co-president), S. Lando, S. Nechaev (co-president), P. Zinn-Justin Leonid CHEKHOV (Steklov Institute and Poncelet lab, Moscow) Yulya DROBOTUKHINA (Uppsala University, Sweden) Gerard DUCHAMP (Univ. Paris-13) Ivan DYNNIKOV (MSU, Moscow) Jesper JACOBSEN (LPTMS, Paris-11 Orsay): Oleg KARPENKOV (Poncelet lab, Moscow) Maxim KAZARYAN (Steklov Institute and IUM, Moscow) Gleb KOSHEVOY (CEMI and Poncelet lab, Moscow) Serguei LANDO (Poncelet lab, Moscow) Jean MAIRESSE (LIAFA, Paris-7 Jussieu) Serguei NATANZON (UIM, Moscow) Serguei NECHAEV (LPTMS, Paris-11 Orsay) Gleb OSHANIN (LPTL, Paris-6 Jussieu) Stephane OUVRY (LPTMS, Paris-11 Orsay) Alexei SOSSINSKY (Poncelet lab, Moscow) Mikhail TAMM (LPTMS, Paris-11 Orsay) Victor VASSILIEV (Steklov Institute and IUM, Moscow)
Mathematics - Knot Theory - Maple Application Center - Maplesoft
All Categories Mathematics knot theory. Title Date Published, Author. Cool knots drawn using Maple Rating Not yet rated, June, 2001, Rohit Chaudhary
http://www.maplesoft.com/applications/app_center_browse.aspx?CID=1&SCID=14
Knot Theory
knot theory. trefoil Right Handed Trefoil Knot. knot theory is the study of knotted loops in three dimensional space (or more simply pieces of string
http://www.cis.upenn.edu/~mmcdouga/knot.html

Extractions: Right Handed Trefoil Knot Knot theory is the study of knotted loops in three dimensional space (or more simply: pieces of string with their ends stuck together). I studied knot theory in summers of 95 and 96 with Prof. Prakash Panangaden . I've written software in Scheme that calculates some knot polynomials (HOMFLY, Kauffman, Jones, Alexander) and a presentation of the fundamental group. I used Linktool for NeXT for entering links graphically and I'm looking for other software that displays edits or displays knot diagrams, especially something that will work with many platforms. If anyone else has written knot software please write me, as I'd like to compare various ways of representing knots for computation. The Geometry Center at the University of Minnesota. Interactive geometry games, papers, software etc.. Knot Plot Home Page. Nice pictures of knots (some in VRML format). Knot Theory at Mega Math at Los Alamos. Lots of information but the links are somewhat tangled.
Professor Lomonaco: Knot Theory References
knot theory References. Dynamic Torus Knot. Home Page Charilaos Aneziris knot theory Primer Cartoon based on three of Lomonaco s knot theory papers.
http://www.cs.umbc.edu/~lomonaco/knot-theory/Knot-Theory.html

Extractions: Home Page *** Under Construction *** Charilaos Aneziris' Knot Theory Primer Cartoon based on three of Lomonaco's knot theory papers. A lecture on knots and electrodynamics by Lomonaco Five Dimensional Knot Theory by Lomonaco ( Figures Viewable in HTML) Rob Scharein's Knot Zoo Foxy Knots , and Knot Table Snapshots from the video "Not Knot" The Geometry Center Archives Images The Journal of Knot Theory and Its Ramifications JKTR Knot Theoretic Thought for the day
Science Search > Knot Theory
Comprehensive knot theory site focusing on the knot classification problem and knot Has a small section on knot theory at an introductory level.
http://www.science-search.org/index/Math/Topology/Knot_Theory/
Colin Adams The Knot Book. An Elementary Introduction To The
Ralph Fox Recent developments of knot theory of Princeton. Proc. 5869 Louis Kauffman Formal knot theory. Princeton UP 1983. 0691-08336-3. $28.
http://felix.unife.it/Root/d-Mathematics/d-Geometry/b-Knot-theory

Extractions: Colin Adams: The knot book. An elementary introduction to the mathematical theory of knots. Freeman 1994, 310p. 0-7167-2393-X. $24. [= Das Knotenbuch. Spektrum 1995, 300p. DM 78.] 6940 Colin Adams: Tilings of space by knotted tiles. Math. Intell. 17/2 (1995), 41-51. 7379 Martin Aigner/J. Seidel: Knoten, Spinmodelle und Graphen. Jber. DMV 97 (1995), 75-96. J. Alexander: A lemma on a system of knotted curves. Proc. Nat. Ac. Sci. USA 9 (1923), 93-95. 5884 Emil Artin: Theorie der Zoepfe. Hamb. Abh. 4 (1925), 47-72. [5883 Artin, 416-441] 5885 Emil Artin: Theory of braids. Annals of Math. 48 (1947), 127-136. [5883 Artin, 446-471] 5886 Emil Artin: Braids and permutations. Annals of Math. 48 (1947), 643-649. [5883 Artin, 472-478] 5887 Emil Artin: The theory of braids. American Scientist 38 (1950), 112-119. [5883 Artin, 491-498] 2524 Clifford Ashley: Il grande libro dei nodi. Rizzoli 1989. 890 Michael Atiyah: The frontier between geometry and physics. Jber. DMV 91 (1989), 149-158. R. Baxter: Exactly solved models in statistical mechanics. Academic Press 1982. 2539 Joan Birman: Braids, links and mapping class groups. Princeton UP 1974. 2227 Joan Birman: Recent developments in braid and link theory. Math. Intell. 13/1 (1991), 52-60. 2236 J. Birman/H. Wenzl: Braids, link polynomials and a new algebra. Trans. AMS 313 (1989), 249-273. [3291] 5880 Gerhard Burde/Heiner Zieschang: Knots. De Gruyter 1985, 400p. 3-11-008675-1. DM 140. L. Crane: Topology of 3-manifolds and conformal field theories. Yale UP 1989 [?]. R. Crowell/R. Fox: Introduction to knot theory. Ginn 1963. M. Culler/C. Gordon/J. Luecke/P. Shalen: Dehn surgery on knots. Annals of Math. 125 (1987), 237-300. David Farmer/Theodore Stanford: Knots and surfaces. AMS 1996, 100p. 0-8218-0451-0. $19. 12154 Jose' Manuel Fernandez de Labastida: Knoten in der Physik. Spektrum 1998/10, 66-72. 5870 M. Fort (ed.): Topology of 3-manifolds. Prentice-Hall 1962. Ralph Fox: Recent developments of knot theory of Princeton. Proc. Int. Congress Math. 2 (1950), 453-457. 5871 Ralph Fox: A quick trip through knot theory. 5870 Fort, 120-176. 5872 Ralph Fox: Knots and periodic transformations. 5870 Fort, 177-182. 5874 Ralph Fox/O. Harrold: The Wilder arcs. 5870 Fort, 184-187. 2241 Peter Freyd a.o.: A new polynomial invariant on knots and links. Bull. AMS 12 (1985), 239-246. [3291] Peter Freyd/D. Yetter: Braided compact closed categories with applications to low dimensional topology. Adv. Math. 77 (1989), 156-182. D. Fuchs: Cohomologies of the braid group mod 2. Funct. Anal. appl. 4 (1970), 143-151. D. Gabai: Foliations and surgery on knots. Bull. AMS 15 (1986), 83-97. N. Gilbert/T. Porter: Knots and surfaces. Oxford UP 1994, 240p. 0-19-853397-7. Pds. 30. "The text is very well written, detailed motivations of concepts and clear explanations replace unnecessary formalism." (Peter Schmitt) 5873 Herman Gluck: The reducibility of embedding problems. 5870 Fort, 182-183. D. Goldschmidt: Group characters, symmetric functions, and the Hecke algebra. AMS 1993, 70p. Pds. 49. "Dieser vorzuegliche Band, dicht gepackt mit Mathematik von allererster Guete, gibt eine Vorlesung wieder, die der Autor 1989 in Berkeley gehalten hat und deren Hauptziel es ist, ein tieferes Verstaendnis der Markovspur und somit des fuer die Knotentheorie so wichtigen Jonespolynoms zu vermitteln." (Harald Rindler). W. Haken: Ueber das Homoeomorphieproblem der 3-Mannigfaltigkeiten I. Math. Zeitschr. 80 (1962), 89-120. V. Hansen: Braids and coverings. Cambridge UP 1989. Geoffrey Hemion: The classification of knots and 3-dimensional spaces. Oxford UP 1992, 160p. 0-19-859697-9. $44. Geoffrey Hemion: On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds. Acta Math. 142 (1979), 123-155. F. Jones: Subfactors and knots. AMS 1991, 113p. DM 110. "An enormous amount of material is contained in this short CBMS series of lectures, and what is more, the author is able to link together completely disparate topics such as von Neumann algebras, braid groups, links, and Hecke algebras. Even a superficial perusal of the book will teach something. It belongs on every mathematician's shelf." (G.C. Rota). 6630 Vaughan Jones: Teoria dei nodi e meccanica statistica. 6626 Israel, 27-32. 2240 Vaughan Jones: A polynomial invariant for knots via von Neumann algebras. Bull. AMS 12 (1985), 103-111. [3291] 5877 Vaughan Jones: Hecke algebra representations of braid groups and link polynomials. Annals Math. 126 (1987), 335-388. 4783 Vaughan Jones: Knots in mathematics and physics. 4727 Casacuberta/Castellet, 70-77. 2028 Louis Kauffman: On knots. Princeton UP 1987. Louis Kauffman: Knots and physics. World Scientific 1991, 500p. 981-02-0344-6 (pb). Pds. 19. 5869 Louis Kauffman: Formal knot theory. Princeton UP 1983. 0-691-08336-3. $28. 2234 Louis Kauffman: State models and the Jones polynomial. Topology 26 (1987), 395-407. [3291] Louis Kauffman/S. Lins: Temperley-Lieb recoupling theory and invariants of 3-manifolds. Princeton UP 1994, 300p. 0-691-03640-3 (pb.). $28. 5879 Louis Kauffman/Pierre Vogel: Link polynomials and a graphical calculus. J. Knot Theory and ramif. 1 (1992), 59-104. A. Kawauchi: A survey on knot theory. Birkha''user 1996, 440p. 3-7643-5124-1. SFR 98. 5882 K. Lamotke: Besprechung des Buches "Knots" von Burde/Zieschang. Jber. DMV 90 (1988), B 31-32. 2242 W. Lickorish: Polynomials for links. Bull. London Math. Soc. 20 (1988), 558-588. [3291] W. Lickorish: Prime knots and tangles. Trans. AMS 267 (1981), 321-332. 2775 W. Lickorish: Three-manifolds and the Temperley-Lieb algebra. Math. Annalen 290 (1991), 657-670. W. Lickorish: An introduction to knot theory. Springer 1997, 200p. DM 89. 6283 Charles Livingston: Periodic knots and Maple. Notices AMS 38 (1991), 785-788. Charles Livingston: Knot theory. MAA 1994. C. McCrory/T. Schifrin (ed.): Geometry and topology, varieties and knots. Dekker 1987. 15064 Kishore Marathe: A chapter in physical mathematics - theory of knots in the sciences. In 15031 Engquist/, 873-888. H. Morton: Threading knot diagrams. Math. Proc. Camb. Phil. Soc. 99 (1986), 246-260. 2235 H. Murakami: A formula for the two-variable link polynomial. Topology 26 (1987), 409-412. [3291] K. Murasugi: Knot theory and its applications. Birkha''user 1996, 340p. 3-7643-3817-2. SFR 98. L. Neuwirth: Knot groups. Princeton UP 1965, 110p. 0-691-07991-9. $7. L. Neuwirth (ed.): Knots, groups, and 3-manifolds. Princeton UP 1975. P. Papi/C. Procesi: Invarianti di nodi. Quaderni UMI 1998, 200p. K. Perko: On the classification of knots. Proc. AMS 45 (1974), 262-266. 5878 William Pohl: DNA and differential geometry. Math. Intell. 3 (1980), 20-27. J. Przytycki/P. Traczyk: Invariants of links of Conway type. Kobe J. Math. 4 (1987), 115-139. 6126 K. Rehren: Quantum symmetry associated with braid group statistics. 2853 Doebner/Hennig, 318-339. 2678 K. Reidemeister: Knotentheorie. Chelsea 1948. N. Reshetiken: Quantized universal enveloping algebras, the Yang-Baxter equation, and invariants of links I-II. Steklov Inst. 1987 [?]. 5868 Dale Rolfsen: Knots and links. Publish or Perish 1976. H. Schubert: Bestimmung der Primfaktorzerlegung von Verkettungen. Math. Zeitschrift 76 (1961), 116-148. H. Seifert/W. Threlfall: Old and new results on knots. Can. J. Math. 2 (1950), 1-15. J. Simon: Topological chirality of certain molecules. Topology 25 (1986), 229-235. 14821 Alexei Sossinsky: Mathematik der Knoten. Rowohlt 2000, 160p. DM 17. S. Spengler/A. Stasiak/N. Cozzarelli: The stereostructure of knots and catenanes produced by phage lambda integrative recombination. Implications for mechanism and DNA structure. Cell 42 (1985), 325-334. 12242 Ian Stewart: Katzenkorbknotenknobelei. Spektrum 1999/1, 8-10. Es gibt eine Algebra fu''r Zo''pfe, aber nicht fu''r Fingerfadenfiguren. 5876 John Stillwell: Classical topology and combinatorial group theory. Springer 1980. Chapter 7 deals with knots and braids. 5173 De Witt Sumners: Untangling DNA. Math. Intell. 12/3 (1990), 71-80. De Witt Sumners: Knots, macromolecules and chemical dynamics. In R. King/D. Rouvray (ed.): Graph theory and topology in chemistry. Elsevier 1987, 3-22. De Witt Sumners: The role of knot theory in DNA research. In McCrory/Schifrin, 297-318. 6950 De Witt Sumners: Lifting the curtain. Using topology to probe the hidden action of the enzymes. Notices AMS May 1995, 528-537. D. Walba: Topological stereochemistry. Tetrahedron 41 (1985), 3161-3212. Friedhelm Waldhausen: The word problem in fundamental groups of sufficiently large irreducible 3-manifolds. Annals Math. 88 (1968), 272-280. Solution of the word problem for knot groups. Friedhelm Waldhausen: Recent results on sufficiently large 3-manifolds. Proc. Symp. Pure Math. AMS 32 (1979), 21-37. S. Wasserman/N. Cozzarelli: Biochemical topology. Applications to DNA recombination and replication. Science 232 (1986), 951-960. S. Wasserman/J. Dungan/N. Cozzarelli: Discovery of a predicted DNA knot substantiates a model for site-specific recombination. Science 229 (1985), 171-174. Dominic Welsh: Complexity. Knots, colourings and countings. Cambridge UP 1993, 180p. 0-521-45740-8 (pb). £20. J. White/K. Millett/N. Cozzarelli: Description of the topological entanglement of DNA catenanes and knots by a powerful method involving strand passage and recombination. J. Mol. Biology 197 (1987), 585-603. 2239 E. Witten: Quantum field theory and the Jones polynomial. Comm. Math. Physics 121 (1989), 351-399. [3291] 5875 E. Zeeman: Isotopies and knots in manifolds. 5870 Fort, 187-193.
Knot Theory
knot theory has many links to important areas of mathematics. VassilievGoussarov theory of knot invariants of finite order. Bialgebra of chord diagrams
http://www.win.tue.nl/~amc/ow/knots/

Extractions: DAG II A knot is what you think it is-the only surprise being that the ends are joined, see The KnotPlot site , for an impression. It is quite natural, although mathematically somewhat tricky, to define which knots are to considered the same (or equivalent). A fundamental problem is to decide whether two given knots are the same. See some of the knots in Dror Bar Natan's lecture notes Knot theory has many links to important areas of mathematics. In the course, we shall come across Lie algebras, invariant theory, topology, homotopy groups and category theory. Students with a Bachelors in Mathematics Below you will find the topics dealt with at each session. Arjeh Cohen and Andries Brouwer The examination will consist of March 31, MA 1.46 Knots and Links: Both live in 3-space (say, in S ). A link is a finite disjoint union of a number of knots. A knot is a homeomorphic image of the circle S , where one takes care to avoid wild embeddings (require "tame" or "smooth" or "piecewise linear" or so).
Search.epnet.com/direct.asp?db=aph Jid=%228KL%
National ICT Australia Topology and knot theoryTopology and knot theory. Autonomous Systems and Sensing Technology. Professor Richard Hartley - All Publications. Computer Vision
http://search.epnet.com/direct.asp?db=aph&jid=8KL&scope=site
Conference In Goemetric Topology
Special Sessions on knot theory and Quantum Topology I. Zeroanomaly of perturbative Chern-Simons theory for knot invariant
http://www.math.uiowa.edu/~wu/gtc/knot.htm
Substandard Analysis » Knot Theory
D. program starting Posted in Notices, knot theory No Comments ». You are currently browsing the archives for the knot theory category.
http://halogen.note.amherst.edu/~wing/math/?cat=7
Protein Similarity From Knot Theory And Geometric Convolution
The third forms the foundations of knot theory.The thesis of this paper is Protein similarity detection leads naturally to an algorithm operating at the
http://portal.acm.org/citation.cfm?id=974641
Survey On Knot Theory (Kawauchi)-BirkhÃ¤user Mathematics (general) Book
knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a wellknown
http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-40109-22-1426191-0,00.

Extractions: preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900180-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900170-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900190-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900200-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900369-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,5-0-17-900344-0,00.gif'); Please select Africa Asia Australia / Oceania Europe Germany North America South America Switzerland United Kingdom
Matias Grana Personal Web Page.
knot theory for selfindexed graphs, to appear in Trans. Amer. I am an introduction to mathematical knot theory; the theory of knots and links of simple
http://mate.dm.uba.ar/~matiasg/

Extractions: matiasg at dm dot uba dot ar Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology, to appear in Osaka J. Math. ps.gz Knot theory for self-indexed graphs, to appear in Trans. Amer. Math. Soc. dvi ps.gz djvu Quantization of non-unitary geometric classical r-matrices, to appear in Math. Res. Letters, dvi ps.gz Indecomposable racks of order p dvi ps.gz Examples of liftings of Nichols algebras over racks, AMA Algebra Montp. Announc. Paper 1, 6 pp. (electronic) dvi ps.gz From racks to pointed Hopf algebras, Adv. Math. ps.gz On rack cohomology, J. Pure Appl. Algebra dvi ps.gz Quandle knot invariants are quantum knot invariants, J. Knot Theory Ramifications ps.gz
VIGRE REU
To gather this data, the geometric knot theory summer VIGRE project will work on a very largescale parallel computation of approximately
http://www.math.uga.edu/~clint/vigre/2003reu.htm

Extractions: VIGRE Research Experience for Undergraduates in Mathematics University of Georgia, Summer 2003 Summary The VIGRE Research Experience for Undergraduates in Mathematics at UGA will run for five weeks, June 9 - July 11, 2003. Students will work in teams guided by faculty mentors. Research teams will meet approximately 30 hours a week. The research experience is open to all majors, and it is not restricted to University of Georgia students. Twelve $2250 stipends will be awarded to United States citizens and permanent residents. Participants may register to receive course credit. Students are responsible for the cost of tuition and fees. In addition to the stipend, we will pay for dormitory rooms for students who choose to stay in dorms. Travel expense money is available for non-UGA students. A final research report is required of all students. This program is supported by a VIGRE grant from the National Science Foundation and by the Franklin College of Arts and Sciences of the University of Georgia. Research topics Analysis on Metrized Graphs Matt Baker and Robert Rumely This project will introduce participants to a variety of interrelated topics in analysis, topology, probability, and physics. The basic object of study will be a "metrized graph," which is a finite graph G equipped with parametrizations of its edges. Such graphs serve as an accessible place to model general theories in higher dimensions, but also have many unique and interesting features in their own right. We will view a metrized graph in several ways: as an electric circuit, with the edges viewed as resistors; as the setting for a random walk; and as a 1-dimensional analogue of a compact Riemann surface. We will touch on a number of ideas, including Kirchoff's laws, homology and cohomology, Polya's theorem on random walks, potential theory, and generalized Fourier series. We will also consider some open problems regarding the Laplacian on a metrized graph.
Knot-Theory.com - Those Who Can't Do, Theorize.
YoYo Trick Library including written description and downloadable videos.
http://www.knot-theory.com/tricklib/index.php

Extractions: Dirty Bomb Cold Fusion Kamikaze Aluminum Whip ... Gravity Pull This database serves as a central index for skill toy trick descriptions, illustrations, videos, and other information, contained both on this page and on others around the net. The main purpose is the spread information quickly and easily about tricks both old and new, to help new players learn, or experienced performers teach.
Patrick Bangert
Braidlink is software for knot and braid theory computations. It performs both analytic and numerical manipulations of knots and braids.
http://www.knot-theory.org/
Read This: Why Knot? An Introduction To The Mathematical Theory Of Knots
Read This! The MAA Online book review column review of Why knot? An Introduction to the Mathematical theory of knots, by Colin Adams.
http://www.maa.org/reviews/whyknot.html

Extractions: by Colin Adams The first book in a new "Math is Fun" series from Key Curriculum Press is a knot theory comic book by Colin Adams, complete with a trefoil-adorned superheroine Knot-man, her boy sidekick Knot-girl, and even a trusty dog Knot-cat. Knot projections are shown on a screen titled "Lord of the Strings" and the Hunchback of Knotre Dame makes a brief appearance. As you can tell, older readers will have to have a high tolerance for knot puns. From my experience, this will not bother students at all. In fact, this is a book which you should purchase for your mathematics seminar room and leave lying around where students will pick it up casually, find it too much fun to stop reading, and discover that knot theory is interesting stuff. I also hope that many copies will somehow make their way into high schools. Beneath the comic illustrations and the puns and the general fun, Why Knot?
[hep-th/0007152] Knot Invariants And Chern-Simons Theory
knot Invariants and ChernSimons theory. Authors JMF Labastida Comments 14 pages, contribution to the proceedings of the 3rd European Congress of
http://arxiv.org/abs/hep-th/0007152

Extractions: A brief review of the development of Chern-Simons gauge theory since its relation to knot theory was discovered in 1988 is presented. The presentation is done guided by a dictionary which relates knot theory concepts to quantum field theory ones. From the basic objects in both contexts the quantities leading to knot and link invariants are introduced and analyzed. The quantum field theory approaches that have been developed to compute these quantities are reviewed. Perturbative approaches lead to Vassiliev or finite type invariants. Non-perturbative ones lead to polynomial or quantum group invariants. In addition, a brief discussion on open problems and future developments is included. References and citations for this submission:

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