On the cohomology of hyperkahler quotients

This paper gives a partial desingularization construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperkähler quotients. This criterion is applied to some linear actions on hyperkähler vector spaces. © Birkḧuser Boston (200...

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Bibliographic Details
Main Authors: Jeffrey, L, Kiem, Y, Kirwan, F
Format: Journal article
Language:English
Published: 2009
Description
Summary:This paper gives a partial desingularization construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperkähler quotients. This criterion is applied to some linear actions on hyperkähler vector spaces. © Birkḧuser Boston (2009).