English

Centrally extended mapping class groups from quantum Teichmuller theory

Geometric Topology 2016-02-12 v2 Quantum Algebra

Abstract

The central extension of the mapping class groups of punctured surfaces of finite type that arises in quantum Teichm\"uller theory is 12 times the Meyer class plus the Euler classes of the punctures. This is analogous to the result obtained in \cite{FS} for the Thompson groups.

Keywords

Cite

@article{arxiv.1003.5365,
  title  = {Centrally extended mapping class groups from quantum Teichmuller theory},
  author = {Louis Funar and Rinat M. Kashaev},
  journal= {arXiv preprint arXiv:1003.5365},
  year   = {2016}
}

Comments

26p., 13 figures, Advances in Math., to appear

R2 v1 2026-06-21T15:03:31.877Z