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LIFTING HOMEOMORPHISMS AND FINITE ABELIAN BRANCHED COVERS OF THE 2-SPHERE

Part of: Low-dimensional topology

Published online by Cambridge University Press:  02 June 2022

HAIMIAO CHEN Open the ORCID record for HAIMIAO CHEN [Opens in a new window]
HAIMIAO CHEN*
Affiliation:
Department of Mathematics, Beijing Technology and Business University, Beijing, PR China
*
e-mail: chenhm@math.pku.edu.cn
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Abstract

We completely determine finite abelian regular branched covers of the 2-sphere $S^{2}$ with the property that each homeomorphism of $S^{2}$ preserving the branching set can be lifted.

Keywords

abelian branched cover2-spherelifting homeomorphism

MSC classification

Primary: 57M12: Special coverings, e.g. branched
Secondary: 57M60: Group actions in low dimensions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 3 , December 2022 , pp. 504 - 507
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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References

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