63 citations · 158 across the 13 of their papers we have counts for
15 papers
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…
Fully local Reshetikhin-Turaev theories
Daniel S. Freed, Claudia I. Scheimbauer, Constantin Teleman
Completing an arc of research initiated by Reshetikhin--Turaev and Witten, we construct fully local 3-dimensional topological field theories from non-degenerate braided fusion cate…
Simons Lectures on Categorical Symmetries
Davi Costa, Clay Córdova, Michele Del Zotto +10
Global Categorical Symmetries are a powerful new tool for analyzing quantum field theories. This volume compiles lecture notes from the 2022 and 2023 summer schools on Global Categ…
Assembly of Constructible Factorization Algebras
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras o…
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…
Comparison of Waldhausen constructions
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
In previous work, we develop a generalized Waldhausen -construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. H…
2-Segal objects and the Waldhausen construction
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
In a previous paper, we showed that a discrete version of the -construction gives an equivalence of categories between unital 2-Segal sets and augmented stable double ca…
The edgewise subdivision criterion for 2-Segal objects
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
We show that the edgewise subdivision of a -Segal object is always a Segal object, and furthermore that this property characterizes -Segal objects.
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…
2-Segal sets and the Waldhausen construction
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
It is known by results of Dyckerhoff-Kapranov and of Gálvez--Carrillo-Kock-Tonks that the output of the Waldhausen S.-construction has a unital 2-Segal structure. Here, we prove th…
A note on the -category of cobordisms
Damien Calaque, Claudia Scheimbauer
In this extended note we give a precise definition of fully extended topological field theories à la Lurie. Using complete -fold Segal spaces as a model, we construct an $(\inft…
(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…
Lectures on mathematical aspects of (twisted) supersymmetric gauge theories
Kevin Costello, Claudia Scheimbauer
Supersymmetric gauge theories have played a central role in applications of quantum field theory to mathematics. Topologically twisted supersymmetric gauge theories often admit a r…