Higher genus mapping class group invariants from factorizable Hopf algebras

@article{Fuchs2012HigherGM,
  title={Higher genus mapping class group invariants from factorizable Hopf algebras},
  author={J. Fuchs and C. Schweigert and Carl Stigner},
  journal={arXiv: Quantum Algebra},
  year={2012}
}
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 category. We consider this construction as applied to the category of bimodules over a finite-dimensional factorizable ribbon Hopf algebra H. For any such Hopf algebra we find an invariant of Map_{g,n} for all values of g and n. More generally, we obtain such invariants for any pair (H,omega), where omega is a ribbon… Expand
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