Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3

Ugo Bruzzo; Dimitri Markushevich; Alexander Tikhomirov

Displaying similar documents to “Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3”

The Tangent Space at a special symplectic instanton bunle on P2n+1.

Günther Trautmann, Giorgio Ottaviani (1994)

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Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds

J. Kurek, W. M. Mikulski (2003)

Annales Polonici Mathematici

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We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.

Poisson geometry of certain moduli spaces

Huebschmann, Johannes

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Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds

Svatopluk Krýsl (2007)

Archivum Mathematicum

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Consider a flat symplectic manifold $(M^{2 l}, ω)$ , $l \geq 2$ , admitting a metaplectic structure. We prove that the symplectic twistor operator maps the eigenvectors of the symplectic Dirac operator, that are not symplectic Killing spinors, to the eigenvectors of the symplectic Rarita-Schwinger operator. If $λ$ is an eigenvalue of the symplectic Dirac operator such that $- ı l λ$ is not a symplectic Killing number, then $\frac{l - 1}{l} λ$ is an eigenvalue of the symplectic Rarita-Schwinger operator.

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

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Let $(M, ω)$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $\nabla$ . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...