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

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.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2024-10-17
DOI
https://doi.org/10.3842/sigma.2024.092
Citations
2
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
2.02
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article

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

Thibault D. Décoppet
2 citations
Symmetry Integrability and Geometry Methods and Applications
Advanced Topology and Set Theory
2.02
article

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

Thibault D. Décoppet
article en
2 citations

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.

Symmetry Integrability and Geometry Methods and Applications
Dalhousie University (CA), Harvard University (US), Perimeter Institute (CA)
Openalex Percentile: Top 13%
Advanced Topology and Set Theory
2.02
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