English

The free factor complex and the dualizing module for the automorphism group of a free group

Algebraic Topology 2023-11-22 v3 Group Theory Geometric Topology

Abstract

Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for Aut(Fn)\text{Aut}(F_n), at least for n=5n = 5.

Keywords

Cite

@article{arxiv.2203.03102,
  title  = {The free factor complex and the dualizing module for the automorphism group of a free group},
  author = {Zachary Himes and Jeremy Miller and Sam Nariman and Andrew Putman},
  journal= {arXiv preprint arXiv:2203.03102},
  year   = {2023}
}

Comments

30 pages, minor revision; to appear in IMRN