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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
Publisher:
Springer International Publishing Publisher's website
Host title:
New Perspectives in Differential Geometry: Special Metrics and Quaternionic Geometry
Publication date:
2017-09-01
Acceptance date:
2016-10-10
DOI:
ISSN:
2281-518X
Source identifiers:
653586
Pubs id:
pubs:653586
UUID:
uuid:5249c2db-689e-4925-ae4b-18acec20e395
Local pid:
pubs:653586
Deposit date:
2016-10-22

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