Modular fusion categories with few twists
Abstract
We classify modular fusion categories up to braided equivalence with less than four distinct twists of simple objects by observing that under this assumption, for each positive integer N , there are finitely many modular fusion categories of Frobenius–Schur exponent N up to braided equivalence whose twists are a proper subset of the N th roots of unity.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Finite Group Theory Research
Publication details
- Journal / source
- Annals of representation theory
- Volume
- 3
- Issue
- 1
- Pages
- 113–140
- Publication date
- 11 May 2026
- Language
- EN