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...

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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:
Online Access:Click for online access

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245 1 0 |a Quantum Invariants of Knots and 3-Manifolds. 
250 |a 2nd ed. 
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300 |a 1 online resource (604 pages) 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a 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. 
505 8 |a Chapter XII. A geometric construction of modular categoriesBackmatter. 
520 |a 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. 
588 0 |a Print version record. 
650 0 |a Invariants. 
650 0 |a Knot theory. 
650 0 |a Quantum field theory. 
650 0 |a Three-manifolds. 
650 7 |a Invariants  |2 fast 
650 7 |a Knot theory  |2 fast 
650 7 |a Quantum field theory  |2 fast 
776 1 |z 9783110221831 
830 0 |a De Gruyter studies in mathematics. 
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