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arxiv: 1209.1578 · v1 · pith:47PIVBLGnew · submitted 2012-09-07 · 🧮 math.SG · math.DG

Implosion for hyperkahler manifolds

classification 🧮 math.SG math.DG
keywords hyperkahlerimplosionspaceactionsanaloguecasedefineddescription
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We introduce an analogue in hyperkahler geometry of the symplectic implosion, in the case of SU(n) actions. Our space is a stratified hyperkahler 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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