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Unstable maps

Unstable maps
Unstable maps

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.

Automorphism, Map, Orientable double cover, Unstable map
0862-9544
341-350
Jones, G. A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, G. A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5

Jones, G. A. (2019) Unstable maps. Acta Mathematica Universitatis Comenianae, 88 (2), 341-350.

Record type: Article

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.

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More information

e-pub ahead of print date: 27 May 2019
Published date: 26 June 2019
Keywords: Automorphism, Map, Orientable double cover, Unstable map

Identifiers

Local EPrints ID: 434681
URI: http://eprints.soton.ac.uk/id/eprint/434681
ISSN: 0862-9544
PURE UUID: 16ad584f-5ed0-46a2-8ffb-d77c80031ae9

Catalogue record

Date deposited: 04 Oct 2019 16:30
Last modified: 04 Oct 2019 16:30

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