Involutions on surfaces
Geometric Topology
2016-12-28 v1 Algebraic Topology
Abstract
We use equivariant surgery to classify all involutions on closed surfaces, up to isomorphism. Work on this problem is classical, dating back to the nineteenth century, but some questions seem to have been left unanswered. We give a modern treatment that leads to a complete classification.
Cite
@article{arxiv.1612.08489,
title = {Involutions on surfaces},
author = {Daniel Dugger},
journal= {arXiv preprint arXiv:1612.08489},
year = {2016}
}