English

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

Category Theory 2024-10-18 v2 Quantum Algebra

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

Cite

@article{arxiv.2403.03211,
  title  = {Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier D\'ecoppet and Theo Johnson-Freyd)},
  author = {Thibault Didier Décoppet},
  journal= {arXiv preprint arXiv:2403.03211},
  year   = {2024}
}

Comments

Previously part of arXiv:2311.16827v1