8 papers
Premonoidal and Kleisli double categories
Bojana Femić
We give a double categorical version of the recently introduced notion of premonoidal bicategories. We introduce a funny product and a funny type of multicategory on double categor…
A calculus for S^3-diagrams of manifolds with boundary
Bojana Femic, Vladimir Grujic, Jovana Obradovic +1
We introduce a diagrammatic language for compact, orientable 3-dimensional manifolds with boundary. A diagrammatic calculus (both integral and rational version) appropriate for thi…
Coring categories and Villamayor-Zelinsky sequence for symmetric finite tensor categories
Bojana Femić
In the preceeding paper we constructed an infinite exact sequence a la Villamayor-Zelinsky for a symmetric finite tensor category. It consists of cohomology groups evaluated at thr…
Villamayor-Zelinsky sequence for symmetric finite tensor categories
Bojana Femić
We prove that if a finite tensor category $\C$ is symmetric, then the monoidal category of one-sided $\C$-bimodule categories is symmetric. Consequently, the Picard group of $\C$ (…
Invertible bimodule categories over the representation category of a Hopf algebra
Bojana Femic, Adriana Mejia Castaño, Martin Mombelli
For any finite-dimensional Hopf algebra we construct a group homomorphism $\biga(H)\to \text{BrPic}(\Rep(H))$, from the group of equivalence classes of -biGalois objects to…
Transparency condition in the categories of Yetter-Drinfel'd modules over Hopf algebras in braided categories
Bojana Femić
We study versions of the categories of Yetter-Drinfel'd modules over a Hopf algebra in a braided monoidal category $\C$. Contrarywise to Bespalov's approach, all our structures…