Quantum Invariants of Knots and 3-Manifolds.
Title:
Quantum Invariants of Knots and 3-Manifolds.
Author:
Turaev, Vladimir G.
ISBN:
9783110221848
Personal Author:
Edition:
2nd ed.
Physical Description:
1 online resource (592 pages)
Series:
De Gruyter Studies in Mathematics ; v.18
De Gruyter Studies in Mathematics
Contents:
Frontmatter -- Contents -- Introduction -- Chapter I. Invariants of graphs in Euclidean 3-space -- Chapter II. Invariants of closed 3-manifolds -- Chapter III. Foundations of topological quantum ˇeld theory -- Chapter IV. Three-dimensional topological quantum field theory -- Chapter V. Two-dimensional modular functors -- Chapter VI. 6j-symbols -- Chapter VII. Simplicial state sums on 3-manifolds -- Chapter VIII. Generalities on shadows -- Chapter IX. Shadows of manifolds -- Chapter X. State sums on shadows -- Chapter XI. An algebraic construction of modular categories -- Chapter XII. A geometric construction of modular categories -- Backmatter.
Abstract:
This monograph, now in its second revised edition, 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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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