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arXiv · 1209.1578

Implosion for hyperkahler manifolds

Andrew Dancer·Frances Kirwan·Andrew Swann
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Abstract

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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Andrew Dancer, Frances Kirwan, Andrew Swann. 2012-09-07. Implosion for hyperkahler manifolds. https://arxiv.org/abs/1209.1578

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