A Birman exact sequence for the Torelli subgroup of Aut(F_n)

Abstract

We develop an analogue of the Birman exact sequence for the Torelli subgroup of 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). These results play an important role in the authors' recent work on the second homology group of the Torelli group.

31 pages, minor revision; to appear in Int. J. Algebr. Comput

References in corpus (1)

• A Birman exact sequence for Aut(F_n)

Cited by in corpus (2)

• On the second homology group of the Torelli subgroup of Aut(F_n)
• Cutting and Pasting in the Torelli subgroup of Out($F_n$)