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Implosion for hyperkähler manifolds

Abstract:
We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of actions. Our space is a stratified hyperkähler space which can be defined in terms of quiver diagrams. It also has a description as a non-reductive geometric invariant theory quotient.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Author's Original

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Publisher copy:
10.1112/S0010437X13007203

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Department:
Oxford, MPLS, Mathematical Institute
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Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Cambridge University Press Publisher's website
Journal:
Compositio Mathematica Journal website
Volume:
149
Issue:
9
Pages:
1592-1630
Publication date:
2013-06-28
Acceptance date:
2013-01-18
DOI:
ISSN:
0010-437X and 1570-5846
Pubs id:
pubs:386985
URN:
uri:8e986508-66b5-4859-84a8-a385dd3c4a1e
UUID:
uuid:8e986508-66b5-4859-84a8-a385dd3c4a1e
Local pid:
pubs:386985
Paper number:
9

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