caa a22 4500 606160728 CHVBK 20210128100631.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10468-015-9547-6 doi (NATIONALLICENCE)springer-10.1007/s10468-015-9547-6 Schaumann Gregor Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany aut Pivotal Tricategories and a Categorification of Inner-Product Modules [Elektronische Daten] [Gregor Schaumann] This article investigates duals for bimodule categories over finite tensor categories. We show that finite bimodule categories form a tricategory and discuss the dualities in this tricategory using inner homs. We consider (bi)module categories over pivotal tensor categories with additional structure on the inner homs. These inner-product module categories are related to Frobenius algebras and lead to the notion of *-Morita equivalence for pivotal tensor categories. In particular they allow to transport the pivotal structure to the categories of endofunctors. We show that inner-product bimodule categories form a tricategory with two duality operations and an additional pivotal structure. This is work is motivated by defects in topological field theories. Springer Science+Business Media Dordrecht, 2015 Tensor category nationallicence Module category nationallicence Tricategory nationallicence Duals in higher categories nationallicence Algebras and Representation Theory Springer Netherlands 18/6(2015-12-01), 1407-1479 1386-923X 18:6<1407 2015 18 10468 https://doi.org/10.1007/s10468-015-9547-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9547-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schaumann Gregor Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/6(2015-12-01), 1407-1479 1386-923X 18:6<1407 2015 18 10468