An introduction to symplectic topology
Claude Viterbo (1991)
Journées équations aux dérivées partielles
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Claude Viterbo (1991)
Journées équations aux dérivées partielles
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Stanisław Janeczko (1999)
Banach Center Publications
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One of the fundamental objectives of the theory of symplectic singularities is to study the symplectic invariants appearing in various geometrical contexts. In the paper we generalize the symplectic cohomological invariant to the class of generalized canonical mappings. We analyze the global structure of Lagrangian Grassmannian in the product symplectic space and describe the local properties of generic symplectic relations.
Svatopluk Krýsl (2007)
Archivum Mathematicum
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Consider a flat symplectic manifold , , 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 is an eigenvalue of the symplectic Dirac operator such that is not a symplectic Killing number, then is an eigenvalue of the symplectic Rarita-Schwinger operator.
Ole E. Barndorff-Nielsen, Peter E. Jupp (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Marc Chaperon (1989)
Banach Center Publications
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Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . 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...
Donaldson, S.K. (1998)
Documenta Mathematica
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