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Computations of generalized Dolbeault cohomology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We study the (generalized Dolbeault) cohomology of generalized complex manifolds in 4 real dimensions. We show that in 4 real dimensions, the first cohomology around a nondegenerate type change point is given by holomorphic (1,0) forms defined on the type change locus. We use this to compute the cohomology of a neighbourhood of a compact component of the type change locus as well as that of the blow-up of a type change point. Finally, we use these computations to determine the generalized cohomology of some concrete examples.
Original languageEnglish
Title of host publicationAIP Conference Proceedings
EditorsOscar Garay, Marisa Fernández, Luis Carlos Andrés, Luis Ugarte
Pages57-69
Volume1093
DOIs
Publication statusPublished - 2 Feb 2009
EventWorkshop on Geometry and Physics: Special Metrics and Supersymmetry - Bilbao, Spain
Duration: 29 Apr 2008 → 31 Oct 2008

Publication series

NameAIP Conference Proceedings
PublisherAmer. Inst. Phys.
Volume1093

Conference

ConferenceWorkshop on Geometry and Physics: Special Metrics and Supersymmetry
Country/TerritorySpain
CityBilbao
Period29/04/08 → 31/10/08

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