Fully-Dualizable and Invertible $\mathcal{E}_n$-Algebras
Algebraic Topology
2026-03-09 v1 Category Theory
Abstract
We prove a conjecture of Brochier, Jordan, Safronov, and Snyder [BJSS21], first formulated by Lurie [Lur09b], characterizing fully-dualizable and invertible -algebras viewed as objects in the higher Morita categories [Lur09b, Sch14, Hau17b, Hau23]. In other words, we characterize those -algebras which give rise to -dimensional topological quantum field theories (TQFT), and those which give rise to invertible theories.
Cite
@article{arxiv.2603.05688,
title = {Fully-Dualizable and Invertible $\mathcal{E}_n$-Algebras},
author = {Pablo Bustillo Vazquez},
journal= {arXiv preprint arXiv:2603.05688},
year = {2026}
}