On the cohomology of hyperkahler quotients

Details On the cohomology of hyperkahler quotients On the cohomology of hyperkahler quotients

2008-09-29

arxiv.org/abs/0809.4889v4

Mathematics

Symplectic Geometry

21 pages. Final version

Scientific paper

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.

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