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

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

2008-02-21

arxiv.org/abs/0802.2996v2

Mathematics

Geometric Topology

26 p

Scientific paper

The central extension of the Thompson group $T$ 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 $T$ by means of explicit presentations.

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