Generalized complex geometry

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dc.creatorGualtieri, Marco
dc.date2007-03-11
dc.date2007-04-01
dc.date.accessioned2026-07-07T07:55:00Z
dc.date.available2026-07-07T07:55:00Z
dc.descriptionGeneralized complex geometry, introduced by Hitchin, encompasses complex and symplectic geometry as its extremal special cases. We explore the basic properties of this geometry, including its enhanced symmetry group, elliptic deformation theory, relation to Poisson geometry, and local structure theory. We also define and study generalized complex branes, which interpolate between flat bundles on Lagrangian submanifolds and holomorphic bundles on complex submanifolds.
dc.description49 pages, refined from math.DG/0401221 and updated with new constructions, added references.
dc.identifierhttps://arxiv.org/abs/math/0703298
dc.identifierhttp://arxiv.org/abs/math/0703298
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126829
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject53C15, 53C80, 53D17
dc.titleGeneralized complex geometry
dc.typetext

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