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.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/3946