Unstable maps
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.02143
- arXiv:
- arXiv:1810.02143
- Bibcode:
- 2018arXiv181002143J
- Keywords:
-
- Mathematics - Combinatorics;
- 05C10 (primary);
- 20B25;
- 30F50 (secondary)
- E-Print:
- 11 pages, 4 figures