Implosion for hyperkahler manifolds

Preprint number: CP3-Origins-2012-24 and DIAS-2012-25
Authors: Andrew Dancer (Oxford), Frances Kirwan (Oxford), and Andrew Swann (CP3-Origins & Aarhus University)
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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.