Implosion for hyperkähler manifolds

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.

Bibliographic Details
Main Authors: Dancer, A, Kirwan, F, Swann, A
Format: Journal article
Published: Cambridge University Press 2013
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author Dancer, A
Kirwan, F
Swann, A
author_facet Dancer, A
Kirwan, F
Swann, A
author_sort Dancer, A
collection OXFORD
description 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.
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spelling oxford-uuid:8e986508-66b5-4859-84a8-a385dd3c4a1e2022-03-26T22:58:49ZImplosion for hyperkähler manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8e986508-66b5-4859-84a8-a385dd3c4a1eSymplectic Elements at OxfordCambridge University Press2013Dancer, AKirwan, FSwann, AWe 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.
spellingShingle Dancer, A
Kirwan, F
Swann, A
Implosion for hyperkähler manifolds
title Implosion for hyperkähler manifolds
title_full Implosion for hyperkähler manifolds
title_fullStr Implosion for hyperkähler manifolds
title_full_unstemmed Implosion for hyperkähler manifolds
title_short Implosion for hyperkähler manifolds
title_sort implosion for hyperkahler manifolds
work_keys_str_mv AT dancera implosionforhyperkahlermanifolds
AT kirwanf implosionforhyperkahlermanifolds
AT swanna implosionforhyperkahlermanifolds