English

A big mapping class acting parabolically on the nonseparating curve graph

Geometric Topology 2026-05-14 v2

Abstract

We use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.

Keywords

Cite

@article{arxiv.2409.05647,
  title  = {A big mapping class acting parabolically on the nonseparating curve graph},
  author = {Federica Fanoni and Sebastian Hensel},
  journal= {arXiv preprint arXiv:2409.05647},
  year   = {2026}
}

Comments

Theorem A of v1 removed, because of a mistake in the proof. The second part of v1 is unaffected

R2 v1 2026-06-28T18:38:34.276Z