Quantum Invariants of Knots and 3-Manifolds.

Quantum Invariants of Knots and 3-Manifolds.

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 lea...

Full description

Saved in:
Bibliographic Details
Main Author: Turaev, V. G.
Format: eBook
Language:English
Published: Berlin : Walter de Gruyter, 2010.
Edition:2nd ed.
Series:De Gruyter studies in mathematics.
Subjects:
Invariants.
Knot theory.
Quantum field theory.
Three-manifolds.
Invariants
Knot theory
Quantum field theory
Online Access:Click for online access
Table of 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?eld 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 categoriesBackmatter.

Similar Items