Implosion for hyperkähler manifolds

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Abstract

We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of \mathrm{SU} (n) 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. © The Author(s) 2013 Â.

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Dancer, A., Kirwan, F., & Swann, A. (2013). Implosion for hyperkähler manifolds. Compositio Mathematica, 149(9), 1592–1630. https://doi.org/10.1112/S0010437X13007203

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