Quantum Topology

By: Louis H. Kauffman (Editor), Michael P. Thorman (Editor), Randy A. Baadhio (Editor)

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392 Pages

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22.23 x 15.88 x 3.18

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Discusses topics in the field of quantum topology, including: knot theory, exotic spheres and global gravitational anomolies; construction of 4D topological quantum field theories; computing the arf invariants of links; and the Casson invariants for two-fold branched covers of links.

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Preface
Introduction to Quantum Topology	p. 1
Knot Theory, Exotic Spheres and Global Gravitational Anomalies	p. 78
A Diagrammatic Theory of Knotted Surfaces	p. 91
Four Dimensional TQFT; A Triptych	p. 116
A Categorical Construction of 4D Topological Quantum Field Theories	p. 120
Evaluating the Crane-Yetter Invariant	p. 131
Canonically Quantized Lattice Chern-Simon Theory	p. 139
Extended Structures in Topological Quantum Field Theory	p. 162
A Method for Computing the Arf Invariants of Links	p. 174
Differential Equations for Loop Expectations in Quantum Gauge Theories	p. 182
Triangulations, Categories and Extended Topological Field Theories	p. 191
A Geometric Construction of the First Pontryagin Class	p. 209
The Casson Invariant for Two-Fold Branched Covers of Links	p. 221
D-Algebras, the D-Simplex Equations, and Multi-Dimensional Integrability	p. 230
The Chern-Simons Character of a Lattice Gauge Field	p. 244
Elementary Conjectures in Classical Knot Theory	p. 292
Knot Polynomials as States of Nonperturbative Four Dimensional Quantum Gravity	p. 321
On Invariants of 3-Manifolds Derived from Abelian Groups	p. 324
Some Knots Not Determined by Their Complements	p. 339
Triangulations and TQFT's	p. 354
List of Contributed Papers	p. 371
List of Participants	p. 373
Table of Contents provided by Blackwell. All Rights Reserved.

Quantum Topology

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

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