Unstable maps
Combinatorics
2018-10-05 v1
Abstract
A map which is non-orientable or has non-empty boundary has a canonical double cover which is orientable and has empty boundary. The map is called stable if every automorphism of this cover is a lift of an automorphism of the map. This note describes several infinite families of unstable maps, and relates them to similar phenomena for graphs, hypermaps and Klein surfaces.
Keywords
Cite
@article{arxiv.1810.02143,
title = {Unstable maps},
author = {Gareth A. Jones},
journal= {arXiv preprint arXiv:1810.02143},
year = {2018}
}
Comments
11 pages, 4 figures