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Dualities in tricategories and 3-dimensional topology

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Speaker: 
Gregor Schaumann
Affiliation: 
Erlangen
Date: 
Wed, 2013-07-24 10:30 - 12:00
Location: 
MPIM Lecture Hall

Defects in 3-dimensional topological field theories naturally exhibit the structure of a tricategory. Orientation reversal imposes dualities on the tricategories. In this talk, three notions of tricategories with duals are defined, we discuss the relation between these notions and their calculus using 3-dimensional diagrams.We show that bimodule categories over fusion categories with a bimodule trace provide a suitable tricategory with duals and sketch possible applications in 3-dimensional TFTs.

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