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Examples of categorification

Louis Crane, David N. Yetter

q-algarXiv:q-alg/9607028

Abstract

We construct tensor and bitensor categories with given Grothedieck rig (fusion algebra) in simple cases. The results provide examples on which to test the conjectural construction of 4-D TQFT's proposed by Crane and Frenkel and shed light on several other constructions of TQFT's.

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