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Gaps in the space of skeletal signatures

Gaps in the space of skeletal signatures
Gaps in the space of skeletal signatures
Skeletal signatures were introduced in previous work of the authors, Anderson and Wootton, as a tool to describe the space of all signatures with which a group can act on a surface of genus σ ≥ 2. In the present paper we provide a complete description of the regular gaps that appear in the space of skeletal signatures, together with proofs of those parts of the conjectures posed in our previous work.
14H37, 30F20, riemann surface, automorphism, signature, mapping class group, skeletal signature
0003-889X
181-190
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015

Anderson, James W. and Wootton, Aaron (2014) Gaps in the space of skeletal signatures. Archiv der Mathematik, 102 (2), 181-190. (doi:10.1007/s00013-014-0607-7).

Record type: Article

Abstract

Skeletal signatures were introduced in previous work of the authors, Anderson and Wootton, as a tool to describe the space of all signatures with which a group can act on a surface of genus σ ≥ 2. In the present paper we provide a complete description of the regular gaps that appear in the space of skeletal signatures, together with proofs of those parts of the conjectures posed in our previous work.

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More information

Submitted date: 15 August 2013
Accepted/In Press date: January 2014
e-pub ahead of print date: 12 February 2014
Published date: 12 February 2014
Keywords: 14H37, 30F20, riemann surface, automorphism, signature, mapping class group, skeletal signature
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 356060
URI: http://eprints.soton.ac.uk/id/eprint/356060
ISSN: 0003-889X
PURE UUID: f15f5e93-7cd7-45a5-8b65-78c54e508ff8
ORCID for James W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

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Date deposited: 11 Sep 2013 11:08
Last modified: 15 Mar 2024 02:52

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Author: Aaron Wootton

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