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- World Scientific Publishing Company 2012; US$ 140.00
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually... more...
- World Scientific Publishing Company 1991; US$ 179.00
Braid Group, Knot Theory and Statistical Mechanics more...
- 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...
- Springer 2008; US$ 49.95
In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... more...
- Elsevier Science 2005; US$ 180.00
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...
- World Scientific Publishing Company 2011; US$ 217.00
This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem... more...
- World Scientific Publishing Company 2007; US$ 292.00
This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest... more...
- CRC Press 2004; US$ 119.95
Knot theory plays an importanat role in mathematics and this volume presents the main concepts of modern knot theory and applications together with full proofs so that it is accessible for undergraduates and is a useful reference for postgraduates, more...
- De Gruyter 2002; US$ 133.00
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...
- 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...