63 citations · 158 across the 13 of their papers we have counts for
6 papers · 1 filter
On dualizability and invertibility in the higher Morita category
Claudia Scheimbauer, Pelle Steffens, William Stewart
We prove a conjecture of Lurie characterizing -dualizability in higher Morita categories of -algebras in terms of dualizability over certain factorization homo…
Dagger -categories
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd +8
Category theory provides a unified language for organizing composable operations in many disciplines. In disciplines where unitarity is fundamental -- such as functional analysis,…
Relative field theories via relative dualizability
Claudia Scheimbauer, Thomas Stempfhuber
We investigate relative versions of dualizability designed for relative versions of topological field theories (TFTs), also called twisted TFTs, or quiche TFTs in the context of sy…
The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory
Damien Calaque, Rune Haugseng, Claudia Scheimbauer
We construct a family of oriented extended topological field theories using the AKSZ construction in derived algebraic geometry, which can be viewed as an algebraic and topological…
Duals and adjoints in higher Morita categories
Owen Gwilliam, Claudia Scheimbauer
We study duals for objects and adjoints for -morphisms in , an -category that models a higher Morita category for algebra…
(Op)lax natural transformations, twisted quantum field theories, and "even higher" Morita categories
Theo Johnson-Freyd, Claudia Scheimbauer
Motivated by the challenge of defining twisted quantum field theories in the context of higher categories, we develop a general framework for lax and oplax transformations and thei…