Symplectic topology as the geometry of generating functions.
Claude Viterbo (1992)
Mathematische Annalen
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Claude Viterbo (1992)
Mathematische Annalen
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Vanderlei Horita, Ali Tahzibi (2006)
Annales de l'I.H.P. Analyse non linéaire
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H. Hofer, K. Wysocki, A. Floer (1994)
Mathematische Zeitschrift
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Kerman, Ely (2005)
Geometry & Topology
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Donaldson, S.K. (1998)
Documenta Mathematica
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Marc Chaperon (1989)
Banach Center Publications
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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.
H. Hofer, A. Floer, K. Cieliebak (1995)
Mathematische Zeitschrift
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Yong-Geun Oh (1990)
Mathematische Zeitschrift
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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.