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arxiv: math/0703298 · v2 · submitted 2007-03-11 · 🧮 math.DG · math.AG· math.SG

Generalized complex geometry

Marco Gualtieri This is my paper
classification 🧮 math.DG math.AGmath.SG
keywords complexgeometrygeneralizedbundlessubmanifoldstheorybasicbranes
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Generalized 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.

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