Morita equivalence and symplectic realizations of Poisson manifolds
Ping Xu (1992)
Annales scientifiques de l'École Normale Supérieure
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Ping Xu (1992)
Annales scientifiques de l'École Normale Supérieure
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V. Guillemin, S. Sternberg (1989)
Inventiones mathematicae
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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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.
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.