Centrally extended mapping class groups from quantum Teichmuller theory

Louis Funar (1) , Rinat M. Kashaev (2)

1 IF - Institut Fourier
2 UNIGE - Université de Genève = University of Geneva

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.

Domaines: Topologie géométrique [math.GT]; Algèbres quantiques [math.QA]

Louis Funar, Rinat M. Kashaev. Centrally extended mapping class groups from quantum Teichmuller theory. Advances in Mathematics, 2014, 252, pp.260-291. ⟨10.1016/j.aim.2013.10.015⟩. ⟨hal-01702837⟩