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
341-350
Jones, G. A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
26 June 2019
Jones, G. A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, G. A.
(2019)
Unstable maps.
Acta Mathematica Universitatis Comenianae, 88 (2), .
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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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
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Date deposited: 04 Oct 2019 16:30
Last modified: 16 Mar 2024 04:10
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Author:
G. A. Jones
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