26 citations · 35 across the 4 of their papers we have counts for
5 papers
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]…
Hopf and Frobenius algebras in conformal field theory
Carl Stigner
This thesis contains results relevant for two different classes of conformal field theory. We partly treat rational conformal field theory, but also derive results that aim at a be…
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…
The three-dimensional origin of the classifying algebra
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
It is known that reflection coefficients for bulk fields of a rational conformal field theory in the presence of an elementary boundary condition can be obtained as representation…
On Frobenius algebras in rigid monoidal categories
Jurgen Fuchs, Carl Stigner
We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces…