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

Thibault Didier Décoppet

Symmetry, integrability and geometry: methods and applications, Tome 20 (2024)

Résumé

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.

Détail

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

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