Thibault Didier Décoppet, “Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)”, SIGMA, 2024, Volume 20,092, 20 pp.

This article is cited in 2 papers

Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)

Thibault Didier Décoppet

Mathematics Department, Harvard University, Cambridge, Massachusetts, USA

Abstract: We study group graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine various examples in detail.

Keywords: extension theory, fusion 2-category, supercohomology.

MSC: 18M20, 18N25

Received: March 11, 2024; in final form October 9, 2024; Published online October 17, 2024

Language: English

DOI: 10.3842/SIGMA.2024.092