The Dehn-Nielsen-Baer Theorem for Bounded Surfaces
Geometric Topology
2026-04-22 v1
Abstract
Let be a bounded surface. We prove the Dehn-Nielsen-Baer theorem for bounded surfaces to show that the mapping class group of is isomorphic to the automorphisms of the fundamental groupoid of that fix loops around the boundary.
Keywords
Cite
@article{arxiv.2604.18815,
title = {The Dehn-Nielsen-Baer Theorem for Bounded Surfaces},
author = {Elysia Wang},
journal= {arXiv preprint arXiv:2604.18815},
year = {2026}
}
Comments
13 pages, 5 figures, comments welcome!