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Hypertoric manifolds and hyperKähler moment maps

Abstract:

We discuss various aspects of moment map geometry in symplectic and hyperKähler geometry. In particular, we classify complete hyperKähler manifolds of dimension 4n with a tri-Hamiltonian action of a torus of dimension n, without any assumption on the finiteness of the Betti numbers. As a result we find that the hyperKähler moment in these cases has connected fibres, a property that is true for symplectic moment maps, and is surjective. New examples of hypertoric manifolds of infinite topologi...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-67519-0_5

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-0272-3697
Publisher:
Springer International Publishing
Host title:
Special Metrics and Group Actions in Geometry
Series:
Springer INdAM Series
Series number:
23
Pages:
107–127
Publication date:
2017-09-23
Acceptance date:
2016-10-10
Event title:
INdAM workshop “New perspectives in differential geometry”
Event location:
Rome, Italy
Event website:
https://newperspectivesindg.wordpress.com/
Event start date:
2015-11-16
Event end date:
2015-11-20
DOI:
EISSN:
2281-5198
ISSN:
2281-518X
EISBN:
978-3-319-67519-0
ISBN:
978-3-319-67518-3
Language:
English
Keywords:
Pubs id:
pubs:653586
UUID:
uuid:5249c2db-689e-4925-ae4b-18acec20e395
Local pid:
pubs:653586
Source identifiers:
653586
Deposit date:
2016-10-22

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