M
Marco Gualtieri
Researcher at University of Toronto
Publications - 49
Citations - 3762
Marco Gualtieri is an academic researcher from University of Toronto. The author has contributed to research in topics: Symplectic geometry & Generalized complex structure. The author has an hindex of 19, co-authored 49 publications receiving 3562 citations. Previous affiliations of Marco Gualtieri include Massachusetts Institute of Technology.
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Generalized complex geometry
TL;DR: In this paper, the concept of a generalized Kahler manifold has been introduced, which is equivalent to a bi-Hermitian geometry with torsion first discovered by physicists.
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Generalized complex geometry
TL;DR: Generalized complex geometry encompasses complex and symplectic ge- ometry as its extremal special cases as mentioned in this paper, including generalized complex branes, which interpolate be- tween at bundles on Lagrangian submanifolds and holomorphic bundles on complex sub-mansifolds, and the basic properties of this geometry, including its enhanced symmetry group, elliptic deforma- tion theory, relation to Poisson geometry, and local structure theory.
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Reduction of Courant algebroids and generalized complex structures
TL;DR: In this paper, a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized Kahler structures interpolates between holomorphic reduction of complex manifolds and symplectic reduction.
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Branes on Poisson varieties
TL;DR: In this paper, the notion of connection in the context of Courant algebroids was extended to obtain a new characterization of generalized Kaehler geometry, and a new notion of isomorphism between holomorphic Poisson manifolds was established.
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Generalized complex geometry and T-duality
TL;DR: In this paper, the authors describe how generalized complex geometry, which interpolates between complex and symplectic geometry, is compatible with T-duality, a relation between quantum field theories discovered by physicists.