English

Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory

Geometric Topology 2014-02-26 v2

Abstract

The central extension of the Thompson group TT that arises in the quantized Teichm\"uller theory is 12 times the Euler class. This extension is obtained by taking a (partial) abelianization of the so-called braided Ptolemy-Thompson group introduced and studied in \cite{FK2}. We describe then the cyclic central extensions of TT by means of explicit presentations.

Keywords

Cite

@article{arxiv.0802.2996,
  title  = {Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory},
  author = {Louis Funar and Vlad Sergiescu},
  journal= {arXiv preprint arXiv:0802.2996},
  year   = {2014}
}

Comments

26 p

R2 v1 2026-06-21T10:14:27.903Z