UID:
almafu_9958354345802883
Format:
1 online resource (608p.)
Edition:
3rd corr. ed.
ISBN:
9783110435221
Series Statement:
De Gruyter Studies in Mathematics, 18
Content:
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.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
Introduction --
,
Part I. Towards Topological Field Theory --
,
Chapter I. Invariants of graphs in Euclidean 3-space --
,
Chapter II. Invariants of closed 3-manifolds --
,
Chapter III. Foundations of topological quantum field theory --
,
Chapter IV. Three-dimensional topological quantum field theory --
,
Chapter V. Two-dimensional modular functors --
,
Part II. The Shadow World --
,
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 --
,
Part III. Towards Modular Categories --
,
Chapter XI. An algebraic construction of modular categories --
,
Chapter XII. A geometric construction of modular categories --
,
Appendix I. Dimension and trace re-examined --
,
Appendix II. Vertex models on link diagrams --
,
Appendix III. Gluing re-examined --
,
Appendix IV. The signature of closed 4-manifolds from a state sum --
,
References --
,
Subject index
,
In English.
Additional Edition:
ISBN 978-3-11-044266-3
Language:
English
Subjects:
Physics
,
Mathematics
DOI:
10.1515/9783110435221
URL:
https://doi.org/10.1515/9783110435221
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
