A Birman exact sequence for the Torelli subgroup of AutpFnq

Abstract

We develop an analogue of the Birman exact sequence for the Torelli subgroup of AutpFnq. This builds on earlier work of the authors who studied an analogue of the Birman exact sequence for the entire group AutpFnq. These results play an important role in the authors’ recent work on the second homology group of the Torelli group. 

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