Applications of symplectic homology I.
H. Hofer, K. Wysocki, A. Floer (1994)
Mathematische Zeitschrift
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H. Hofer, K. Wysocki, A. Floer (1994)
Mathematische Zeitschrift
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H. Hofer, A. Floer, K. Cieliebak (1995)
Mathematische Zeitschrift
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L. Traynor (1994)
Geometric and functional analysis
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Alexander Fel'shtyn (2007)
Banach Center Publications
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We describe a connection between Nielsen fixed point theory and symplectic Floer homology for surfaces. A new asymptotic invariant of symplectic origin is defined.
H. Hofer, A. Floer (1994)
Mathematische Zeitschrift
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Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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Yong-Geun Oh (1990)
Mathematische Zeitschrift
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L. Polterovich (1996)
Geometric and functional analysis
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Etnyre, John B. (2004)
Algebraic & Geometric Topology
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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...