Geodesic
Generalized complex geometry
Marco Gualtieri1
1 Department of Mathematics<br/>University of Toronto<br/>Toronto, Ontario<br/> Canada M5S 2E4
Annals of mathematics, Tome 174 (2011) no. 1, pp. 75-123 Cet article a éte moissonné depuis la source Annals of Mathematics website

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Generalized complex geometry 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.

DOI : 10.4007/annals.2011.174.1.3

Marco Gualtieri 1

1 Department of Mathematics<br/>University of Toronto<br/>Toronto, Ontario<br/> Canada M5S 2E4 
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Marco Gualtieri. Generalized complex geometry. Annals of mathematics, Tome 174 (2011) no. 1, pp. 75-123. doi: 10.4007/annals.2011.174.1.3

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