Harmonic symplectic spinors on Riemann surfaces.

K. Habermann

Displaying similar documents to “Harmonic symplectic spinors on Riemann surfaces.”

On a volume element of a Hitchin component

Yaşar Sözen (2012)

Fundamenta Mathematicae

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Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.

Symplectic capacities in two dimensions.

Karl Friedrich Siburg (1993)

Manuscripta mathematica

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A Symplectic Rigidity Theorem.

Larry Bates (1990)

Manuscripta mathematica

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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...

Correction to “Open books and configurations of symplectic surfaces”.

Gay, David T. (2003)

Algebraic & Geometric Topology

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On Kazhdan's property (T) for Sp $_{2}$ (k).

Bekka, M.B., Neuhauser, M. (2002)

Journal of Lie Theory

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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.

Displaying similar documents to “Harmonic symplectic spinors on Riemann surfaces.”

On a volume element of a Hitchin component

Symplectic capacities in two dimensions.

A Symplectic Rigidity Theorem.

Symplectic Killing spinors

Correction to “Open books and configurations of symplectic surfaces”.

On Kazhdan's property (T) for Sp 2 (k).

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

On Kazhdan's property (T) for Sp $_{2}$ (k).