English

Implosion for hyperkahler manifolds

Symplectic Geometry 2012-09-10 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1209.1578,
  title  = {Implosion for hyperkahler manifolds},
  author = {Andrew Dancer and Frances Kirwan and Andrew Swann},
  journal= {arXiv preprint arXiv:1209.1578},
  year   = {2012}
}

Comments

48 pages

R2 v1 2026-06-21T22:01:37.795Z