Computations of generalized Dolbeault cohomology

Journal Article · Mon Feb 02 00:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3089208· OSTI ID:21260247

Cavalcanti, Gil R ^[1]

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1. Utrecht University (Netherlands)

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.

• OSTI ID: 21260247
• Journal Information: AIP Conference Proceedings, Vol. 1093, Issue 1; Conference: Workshop on geometry and physics: Special metrics and supersymmetry, Bilbao (Spain), 29-31 May 2008; Other Information: DOI: 10.1063/1.3089208; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPLEX MANIFOLDS
GAUGE INVARIANCE
NUMERICAL ANALYSIS
QUANTUM FIELD THEORY
SUPERGRAVITY