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Quantum Invariants of Knots and 3-Manifolds

Turaev, Vladimir G.

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(Hardback | ISBN 9783110442663 | 596 pages)

Summary

The third edition of this monograph provides a systematic treatment of topological quantum field theories in three dimensions, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups. The author, one of the leading experts in the subject, gives a rigorous and self-contained exposition of fundamental algebraic and topological concepts that emerged in this theory.