4 papers · 1 filter
-Frobenius functors and exact module categories
David Jaklitsch, Harshit Yadav
We call a tensor functor between finite tensor categories -Frobenius if its left and right adjoints are isomorphic as -bimodule…
A manifestly Morita-invariant construction of Turaev-Viro invariants
Jürgen Fuchs, César Galindo, David Jaklitsch +1
We present a state sum construction that assigns a scalar to a skeleton in a closed oriented three-dimensional manifold. The input datum is the pivotal bicategory $\mathbf{Mod}^{\m…
Spherical Morita contexts and relative Serre functors
Jürgen Fuchs, César Galindo, David Jaklitsch +1
The Morita context provided by an exact module category over a finite tensor category gives a two-object bicategory with duals. Right and left duals of objects in the module catego…
Equivariant Morita theory for graded tensor categories
César Galindo, David Jaklitsch, Christoph Schweigert
We extend categorical Morita equivalence to finite tensor categories graded by a finite group . We show that two such categories are graded Morita equivalent if and only if thei…