English

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

Geometric Topology 2020-06-09 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.1507.08976,
  title  = {A Birman exact sequence for the Torelli subgroup of Aut(F_n)},
  author = {Matthew B. Day and Andrew Putman},
  journal= {arXiv preprint arXiv:1507.08976},
  year   = {2020}
}

Comments

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