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arxiv: 0809.4889 · v4 · submitted 2008-09-29 · 🧮 math.SG

On the cohomology of hyperkahler quotients

classification 🧮 math.SG
keywords ahlerhyperkquotientscohomologycriterionactionsanalogueapplied
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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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