Theo Johnson-Freyd

Theo Johnson-Freyd, Dalhousie University and Perimeter Institute
Higher S-matrices

Each fusion higher category has a "framed S-matrix" which encodes the commutator of operators of complementary dimension. I will explain how to construct and interpret this pairing, and I will emphasize that it may fail to exist if you drop semisimplicity requirements. I will then outline a proof that the framed S-matrix detects (non)degeneracy of the fusion higher category. This is joint work in progress with David Reutter.

Additional file

document preview

Theo Johnson Freyd's slides