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math.QA2012
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…
math.QA2011★ 27 cited
Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
For any finite-dimensional factorizable ribbon Hopf algebra H and any ribbon automorphism omega of H, we establish the existence of the following structure: an H-bimodule F_omega a…