Results 11 to 20 of about 1,106 (166)
Linear symplectomorphisms asR-Lagrangian subspaces [PDF]
Involve, a Journal of Mathematics, 2015 The graph of a real symplectic linear transformation is an R-Lagrangian subspace of a complex symplectic vector space. The restriction of the complex symplectic form is thus purely imaginary and may be expressed in terms of the generating function of the transformation.
Chris Hellmann +2 more
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The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane [PDF]
, 2012 By a result of Kedra and Pinsonnault, we know that the topology of groups of symplectomorphisms of symplectic 4-manifolds is complicated in general. However, in all known (very specific) examples, the rational cohomology rings of symplectomorphism groups
Sı́lvia Anjos, Martin Pinsonnault
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STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC
Communications of the Korean Mathematical Society, 2014 Abstract. Let M be a closed, symplectic connected Riemannian mani-fold and f a symplectomorphism on M. We prove that if f is C 1 -stablyweak shadowable on M, then the whole manifold M admits a partiallyhyperbolic splitting. 1. Introduction, basic definitions and statement of the results1.1.
Mário Bessa, Sandra Vaz
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Symplectomorphisms of some Weinstein 4-manifolds [PDF]
, 2021 Comments welcome!
Paul Hacking, Ailsa Keating
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Symplectomorphism groups and isotropic skeletons [PDF]
Geometry & Topology, 2005 Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper21.abs ...
Joseph Coffey
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Symplectomorphism groups and almost complex structures [PDF]
, 2000 This paper studies groups of symplectomorphisms of ruled surfaces for symplectic forms with varying cohomology class. This class is characterized by the ratio R of the size of the base to that of the fiber. By considering appropriate spaces of almost complex structures, we investigate how the topological type of these groups changes as R increases.
Dusa McDuff
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Commuting symplectomorphisms and Dehn twists in divisors [PDF]
Geometry & Topology, 2015 Two commuting symplectomorphisms of a symplectic manifold give rise to actions on Floer cohomologies of each other. We prove the elliptic relation saying that the supertraces of these two actions are equal. In the case when a symplectomorphism $f$ commutes with a symplectic involution, the elliptic relation provides a lower bound on the dimension of ...
Dmitry Tonkonog
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Tau-Functions and Monodromy Symplectomorphisms [PDF]
Communications in Mathematical Physics, 2021 AbstractWe derive a new Hamiltonian formulation of Schlesinger equations in terms of the dynamical r-matrix structure. The corresponding symplectic form is shown to be the pullback, under the monodromy map, of a natural symplectic form on the extended monodromy manifold. We show that Fock–Goncharov coordinates are log-canonical for the symplectic form.
M. Bertola, D. Korotkin
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Polynomial symplectomorphisms [PDF]
Bulletin of the London Mathematical Society, 2008 Stanisław Janeczko, Zbigniew Jelonek
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Symplectic (-2)-spheres and the symplectomorphism group
, 2021 Jun Li, Tianjun Li, Weiwei Wu
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