Two questions on mapping class groups

Louis Funar

Two questions on mapping class groups

Geometric Topology 2011-01-04 v2

Authors: Louis Funar

Abstract

We show that central extensions of the mapping class group $M_g$ of the closed orientable surface of genus $g$ by $\Z$ are residually finite. Further we give rough estimates of the largest $N=N_g$ such that homomorphisms from $M_g$ to SU(N) have finite image. In particular, homomorphisms of $M_g$ into $SL([\sqrt{g+1}],\C)$ have finite image. Both results come from properties of quantum representations of mapping class groups.

Keywords

mapping class groups of surfaces mapping class groups representation theory of groups

Cite

@article{arxiv.0910.1491,
  title  = {Two questions on mapping class groups},
  author = {Louis Funar},
  journal= {arXiv preprint arXiv:0910.1491},
  year   = {2011}
}

Comments

7p, Proc. Amer. Math. Soc., to appear

Related papers

View all related →