The Grothendieck-Teichm\"uller group GT acts on the genus g mapping class group with 0 or 1 marked point

Abstract

The goal of this article is to prove that the Grothendieck-Teichm\"uller group GT acts on g,0 and g,1,the (full) profinite genus g mapping class group with 0 or 1 marked point, for every g>0.

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