English

Automorphisms of smooth fine curve graphs

Geometric Topology 2024-10-31 v2

Abstract

In this paper, we consider the automorphisms of fine curve graphs restricted to continuously kk-differentiable curves. We show that for closed surfaces with genus at least 2, they are induced by homeomorphisms of the surface.

Keywords

Cite

@article{arxiv.2410.21463,
  title  = {Automorphisms of smooth fine curve graphs},
  author = {Katherine Williams Booth},
  journal= {arXiv preprint arXiv:2410.21463},
  year   = {2024}
}

Comments

37 pages, 26 figures. Updated references. Comments welcome!