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On the cohomology of hyperkahler quotients

2008/09/29 by Lisa Jeffrey, Jeffrey, Lisa, Young-Hoon Kiem +3
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.0809.4889

21 pages. Final version

arxiv created 2009/06/22 · arxiv updated 2009/12/01

Abstract

This paper gives a partial desingularisation 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.

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