On invariants of modular categories beyond modular data
Academic Article
Overview
Identity
Additional Document Info
Other
View All
Overview
abstract
2018 Elsevier B.V. We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on the W-matrixthe quantum invariant of a colored framed Whitehead link from the associated TQFT of a modular category. We prove that the W-matrix and the set of punctured S-matrices are strictly beyond the modular data (S,T). Whether or not the triple (S,T,W) constitutes a complete invariant of modular categories remains an open question.