4-DIMENSIONAL TOPOLOGICAL QUANTUM-FIELD THEORY, HOPF, CATEGORIES, ANDTHE CANONICAL BASES

Authors
CRANE L FRENKEL IB
Citation
L. Crane et Ib. Frenkel, 4-DIMENSIONAL TOPOLOGICAL QUANTUM-FIELD THEORY, HOPF, CATEGORIES, ANDTHE CANONICAL BASES, Journal of mathematical physics, 35(10), 1994, pp. 5136-5154
Citations number
34
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
10
Year of publication
1994
Pages
5136 - 5154
Database
ISI
SICI code
0022-2488(1994)35:10<5136:4TQTHC>2.0.ZU;2-V
Abstract
A new combinatorial method of constructing four-dimensional topologica l quantum field theories is proposed. The method uses a new type of al gebraic structure called a Hopf category. The construction of a family of Hopf categories related to the quantum groups and their canonical bases is also outlined.