English

On the cohomology of hyperkahler quotients

Symplectic Geometry 2009-06-22 v4

Abstract

This paper gives a partial desingularisation construction for hyperk\"ahler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperk\"ahler quotients. This criterion is applied to some linear actions on hyperk\"ahler vector spaces.

Keywords

Cite

@article{arxiv.0809.4889,
  title  = {On the cohomology of hyperkahler quotients},
  author = {Lisa Jeffrey and Young-Hoon Kiem and Frances Kirwan},
  journal= {arXiv preprint arXiv:0809.4889},
  year   = {2009}
}

Comments

21 pages. Final version