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math.GT2008★ 16 cited
Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory
Louis Funar, Vlad Sergiescu
The central extension of the Thompson group that arises in the quantized Teichmüller theory is 12 times the Euler class. This extension is obtained by taking a (partial) abelia…
math.GT2003★ 14 cited
An extension of the Burau representation to a mapping class group associated to Thompson's group T
C. Kapoudjian, V. Sergiescu
We study some aspects of the geometric representation theory of the Thompson and Neretin groups, suggested by their analogies with the diffeomorphism groups of the circle. We prove…