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A Birman exact sequence for the Torelli subgroup of $Aut (F_{n})$ $Aut (F_{n})$

Matthew Day

Department of Mathematical Sciences, 309 SCEN, University of Arkansas, Fayetteville, AR 72701, USA

E-mail Address: matthewd@uark.edu

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and

Andrew Putman

Department of Mathematics, Rice University, MS 136, 6100 Main St. Houston, TX 77005, USA

E-mail Address: andyp@math.rice.edu

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https://doi.org/10.1142/S0218196716500260Cited by:2 (Source: Crossref)

Abstract

We develop an analogue of the Birman exact sequence for the Torelli subgroup of $Aut (F_{n})$ $Aut (F_{n})$ . This builds on earlier work of the authors, who studied an analogue of the Birman exact sequence for the entire group $Aut (F_{n})$ $Aut (F_{n})$ . These results play an important role in the authors’ recent work on the second homology group of the Torelli group.

Communicated by B. Steinberg

Keywords:

References

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Vol. 26, No. 03

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History

Received 1 January 2016

Accepted 14 April 2016

Published: 19 May 2016

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