383 citations · 4.2k across the 131 of their papers we have counts for
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Partition functions, mapping class groups and Drinfeld doubles
Jens Fjelstad, Jurgen Fuchs, Christoph Schweigert +1
Higher genus partition functions of two-dimensional conformal field theories have to be invariants under linear actions of mapping class groups. We illustrate recent results [4,6]…
Higher genus mapping class group invariants from factorizable Hopf algebras
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
Lyubashenko's construction associates representations of mapping class groups Map_{g,n} of Riemann surfaces of any genus g with any number n of holes to a factorizable ribbon categ…
Bicategories for boundary conditions and for surface defects in 3-d TFT
Jurgen Fuchs, Christoph Schweigert, Alessandro Valentino
We analyze topological boundary conditions and topological surface defects in three-dimensional topological field theories of Reshetikhin-Turaev type based on arbitrary modular ten…
The Cardy-Cartan modular invariant
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essentia…