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Knot Invariants and Higher Representation Theory

The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that;

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An Invitation to Knot Theory

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical;

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Knot Theory

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology;

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Knot Theory

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology;

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Introduction To Vassiliev Knot Invariants

With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens;

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Knots

the free differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds;

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Lecture Notes On Knot Invariants

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the;

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Lecture Notes On Knot Invariants

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the;

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Diagram Genus, Generators, and Applications

on the combinatorial theory of knots and supplies proofs for a number of theorems. The book begins with an introduction to the origin;

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Polynomial One-cocycles for Knots and Closed Braids

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known;

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Interactive Introduction to Knot Theory

This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary;

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Algebraic Invariants Of Links (2nd Edition)

considered here play an essential role in many applications of knot theory to other areas of topology.This second edition introduces two new chapters;

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Virtual Knots

of a larger theory, and studying properties of virtual knots helped one understand better some aspects of classical knot theory and encouraged;

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Physical And Numerical Models In Knot Theory

, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume;

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Introductory Lectures On Knot Theory

the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3-manifold topology;

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Hyperbolic Knot Theory

This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory;

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Knots and Physics

physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This has the advantage;

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Chern-Simons Theory, Matrix Models, And Topological Strings

of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold;

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Knots, Links, Spatial Graphs, and Algebraic Invariants

This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS;

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Knots and Links

Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners;

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Knots, Low-Dimensional Topology and Applications

links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules;

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Knots, Low-Dimensional Topology and Applications

links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules;

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Knots And Physics (Fourth Edition)

of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range;

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Knots And Physics

a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and;

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

-Lieb algebra, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this;

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Handbook of the Tutte Polynomial and Related Topics

introduction to the theory of graph polynomials for researchers in mathematics, physics, and computer science Provides an extensive reference volume;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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