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Showing 1 to 3 of 3 for “"generalized complex geometry"”.
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Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… integral Kahler manifold preserved by the complexification a of the Hamiltonian group action. Guillemin and Sjamaar generalized this result to irreducible subvarieties preserved only by a Borel subgroup. In another direction, O'Shea and Sjamaar proved a convexity result for the moment map …
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Aspects of Generalized Geometry: Branes with Boundary, Blow-ups, Brackets and Bundles
This thesis explores aspects of generalized geometry, a geometric framework introduced by Hitchin and Gualtieri in the early 2000s. In the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a …
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Survey of Generalized Contact Structures
A generalized complex structure, as introduced by N. Hitchin, is a common generalization of both symplectic and complex structures. Generalized complex geometry provides a natural geometric framework to understand certain recent developments in string physics, and has developed into an active area …