Implosion for hyperkahler manifolds
  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. 
Andrew Dancer, Frances Kirwan, Andrew Swann
math.SG math.DG