The Kuranishi space of complex parallelisable nilmanifolds

Sönke Rollenske

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Displaying similar documents to “The Kuranishi space of complex parallelisable nilmanifolds”

Symplectic subvarieties of projective fibrations over symplectic manifolds

Roberto Paoletti (1999)

Annales de l'institut Fourier

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Given a symplectic fibration $E \to M$ , with $M$ compact and symplectic and the fibres complex projective, we produce symplectic submanifolds of $E$ analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.

A generalization of the normal holomorphic frames in symplectic manifolds

Luigi Vezzoni (2006)

Bollettino dell'Unione Matematica Italiana

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In this paper we give a generalization of the normal holomorphic frames in symplectic manifolds and find conditions for the integrability of complex structures.

On Seiberg-Witten equationsοn symplectic 4-manifolds

Klaus Mohnke (1997)

Banach Center Publications

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We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.

Geometric quantization and no-go theorems

Viktor Ginzburg, Richard Montgomery (2000)

Banach Center Publications

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A geometric quantization of a Kähler manifold, viewed as a symplectic manifold, depends on the complex structure compatible with the symplectic form. The quantizations form a vector bundle over the space of such complex structures. Having a canonical quantization would amount to finding a natural (projectively) flat connection on this vector bundle. We prove that for a broad class of manifolds, including symplectic homogeneous spaces (e.g., the sphere), such connection does not exist....

Uniqueness of crepant resolutions and symplectic singularities

Baohua Fu, Yoshinori Namikawa (2004)

Annales de l’institut Fourier

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We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.

Compact symplectic four solvmanifolds without polarizations

Luis A. Cordero, Marisa Fernández, Manuel De León, Martín Saralegui (1989)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Almost symplectic structures on the linear frame bundle from linear connection

Anna Bednarska (2009)

Annales UMCS, Mathematica

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We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.

Geography of symplectic 4-manifolds with Kodaira dimension one.

Baldridge, Scott, Li, Tian-Jun (2005)

Algebraic & Geometric Topology

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Hyperkähler manifolds

Nigel Hitchin (1991-1992)

Séminaire Bourbaki

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