Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier D\'ecoppet and Theo Johnson-Freyd)
Thibault Didier D\'ecoppet
TL;DR
This paper classifies fermionic strongly fusion 2-categories using extension theory and homotopy methods, providing detailed examples and advancing the understanding of fusion 2-categories in mathematical physics.
Contribution
It introduces a homotopy theoretic classification of fermionic strongly fusion 2-categories based on group graded extensions.
Findings
Classification of fermionic strongly fusion 2-categories
Detailed examples illustrating the theory
Extension theory applied to fusion 2-categories
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.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Rough Sets and Fuzzy Logic · Medical Image Segmentation Techniques