Four‐dimensional topological quantum field theory, Hopf categories, and the canonical bases

A new combinatorial method of constructing four‐dimensional topological quantum field theories is proposed. The method uses a new type of algebraic structure called a Hopf category. The construction of a family of Hopf categories related to the quantum groups and their canonical bases is also outlin...

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Bibliographic Details
Published in:Journal of mathematical physics 1994-10, Vol.35 (10), p.5136-5154
Main Authors: Crane, Louis, Frenkel, Igor B.
Format: Article
Language:English
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Summary:A new combinatorial method of constructing four‐dimensional topological quantum field theories is proposed. The method uses a new type of algebraic 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.530746