English

Extending finite free actions of surfaces

Geometric Topology 2024-03-25 v2

Abstract

We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface SS that act freely and which extends as a group of homeomorphisms of some compact orientable 33-manifold with boundary SS, but which cannot extend to a handlebody.

Keywords

Cite

@article{arxiv.2310.18124,
  title  = {Extending finite free actions of surfaces},
  author = {Rubén A. Hidalgo},
  journal= {arXiv preprint arXiv:2310.18124},
  year   = {2024}
}