On invariants of modular categories beyond modular data Academic Article uri icon


  • 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.

published proceedings


author list (cited authors)

  • Bonderson, P., Delaney, C., Galindo, C., Rowell, E. C., Tran, A., & Wang, Z.

citation count

  • 10

complete list of authors

  • Bonderson, Parsa||Delaney, Colleen||Galindo, Cesar||Rowell, Eric C||Tran, Alan||Wang, Zhenghan

publication date

  • September 2019