کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6425675 | 1633838 | 2014 | 35 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Higher genus mapping class group invariants from factorizable Hopf algebras Higher genus mapping class group invariants from factorizable Hopf algebras](/preview/png/6425675.png)
Lyubashenkoʼs construction associates representations of mapping class groups Mapg: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 Mapg:n for all values of g and n. More generally, we obtain such invariants for any pair (H,Ï), where Ï is a ribbon automorphism of H.Our results are motivated by the quest to understand higher genus correlation functions of bulk fields in two-dimensional conformal field theories with chiral algebras that are not necessarily semisimple, so-called logarithmic conformal field theories.
Journal: Advances in Mathematics - Volume 250, 15 January 2014, Pages 285-319