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Showing 1 to 9 of 9 for “"Complex manifolds"”.
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p-Kähler and balanced structures on complex manifolds
L'abstract è presente nell'allegato / the abstract is in the attachment
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Aspects of Generalized Geometry: Branes with Boundary, Blow-ups, Brackets and Bundles
… the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a correspondence between stable generalized complex geometry and log symplectic geometry, which allows us to prove results on local …
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Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… basic case of Hamiltonian actions on symplectic manifolds, and the second a generalization of the basic case. Brion proved a convexity result for the moment map image of an irreducible subvariety of a compact integral Kahler manifold preserved by the complexification a of the Hamiltonian group …
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On special Kähler metrics and hypersurfaces
Minimal surfaces in 3-manifolds play an important role in 3-dimensional geometry. In higher dimensions, there are special geometric structures, including Ricci-flat Kähler structures on complex manifolds. They are called Calabi-Yau manifolds. Generalizations include Kähler-Ricci soliton structures. …
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Newtonian Twistor Theory
… four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian analogue of this procedure, in which four-dimensional Newton-Cartan manifolds arise as Kodaira moduli spaces of rational curves …
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Irreducible symplectic complex spaces
… locally topologically trivial, morphisms of complex manifolds. Generalizing Griffiths's theory, we interpret the differential of such period mappings as the composition of the Kodaira-Spencer map and a map derived from the sheaf cohomological cup product and the contraction of vector fields …
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Limiting Properties of Certain Geometric Flows in Complex Geometry
… geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. This allows us to construct an …
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Dualities and Categorical Structures from 2D Up
… its dimensional reduction on Calabi-Yau (CY) manifolds, the latter being complex manifolds admitting a category theory description. In particular, the work of Kapustin, Rozansky and Saulina (KRS) has shown how this can be achieved in terms of a 3D TFT equipped with a 2-categorical structure. …
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Positive scalar curvature and Callias-type index theorems for proper actions
… settings, namely on cocompact and non-cocompact manifolds with a Lie group action. The first two chapters are a short resumé of Dirac operators and index theory and form a common introduction to the papers in the appendices. Appendix A is joint work with my supervisors, Elder Professor Mathai …