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Implosion for hyperkähler manifolds

2013/06/28 by Andrew Dancer, Frances Kirwan, Andrew Swann · 1 citation
Mathematics · #Advanced Algebra and Geometry #Geometry and complex manifolds #Algebraic structures and combinatorial models

paper · pdf · doi:10.1112/s0010437x13007203

Abstract

Abstract We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of 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.

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