English

Automorphisms of the disk complex

Geometric Topology 2009-10-13 v1

Abstract

We show that the automorphism group of the disk complex is isomorphic to the handlebody group. Using this, we prove that the outer automorphism group of the handlebody group is trivial.

Keywords

Cite

@article{arxiv.0910.2038,
  title  = {Automorphisms of the disk complex},
  author = {Mustafa Korkmaz and Saul Schleimer},
  journal= {arXiv preprint arXiv:0910.2038},
  year   = {2009}
}

Comments

19 pages, 2 figures

R2 v1 2026-06-21T13:56:59.916Z