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Most popular at the top

  • Braid Group, Knot Theory and Statistical Mechanics IIby C.N. Yang; M.L. Ge

    World Scientific Publishing Company 1994; US$ 134.00

    The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors. more...

  • Symmetric Bendsby Roger E. Miles

    World Scientific Publishing Company 1995; US$ 68.00

    A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: “Is there a ‘best’ bend and, if so, what is it?”Most of the well-known bends happen to be symmetric... more...

  • Functorial Knot Theoryby David N. Yetter

    World Scientific Publishing Company 2001; US$ 142.00

    Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have... more...

  • Energy of Knots and Conformal Geometryby Jun O'Hara

    World Scientific Publishing Company 2003; US$ 135.00

    Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers... more...

  • The Mathematical Theory of Knots and Braidsby S. Moran

    Elsevier Science 2000; US$ 255.00

    This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is... more...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 147.00

    This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and... more...

  • Knotsby Gerhard Burde; Heiner Zieschang; Michael Heusener

    De Gruyter 2013; US$ 140.00

    This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental... more...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 185.00

    This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

  • New Developments in the Theory of Knotsby Toshitake Kohno

    World Scientific Publishing Company 1990; US$ 229.00

    This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different... more...

  • Knots in Hellas '98by Cameron Gordon; V. F. R. Jones; L. Kauffman; S. Lambropoulou; J. H. Przytycki

    World Scientific Publishing Company 2000; US$ 277.00

    There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon–Luecke work on surgeries on knots, Jones' work on invariants of links in S 3 , and advances in the theory of invariants of 3-manifolds based on Jones-... more...