Year: 2026
Type: preprint
Abstract: Motivated by Teleman's study of gauged topological quantum field theories, our main result is an analog of Elmendorf's theorem in the setting of simplicial group actions on $\infty$-categories. In particular, we prove that if $G$ is a simplicial group, there is a Quillen equivalence between the homotopy category of $\infty$-categories with $G$-action and the homotopy category of $\infty$-category-valued presheaves on the orbit category of $G$. We also show an analog of Whitehead's theorem in this setting.
Source: arXiv (Cornell University)
Author: Rowley, Peter
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223813593