Results 21 to 30 of about 1,106 (166)
Floer-Novikov cohomology and symplectic fixed points, revisited
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 This note is mostly an exposition of a few versions of Floer-Novikov cohomology with a few new observations. For example, we state a lower bound for the number of symplectic fixed points of a non-degenerate symplectomorphism, which is symplectomorphic ...
Kaoru Ono, Hong Van Le
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Exotic spheres and the topology of symplectomorphism groups [PDF]
, 2014 We show that, for certain families $\phi_{\mathbf{s}}$ of diffeomorphisms of high-dimensional spheres, the commutator of the Dehn twist along the zero-section of $T^*S^n$ with the family of pullbacks $\phi^*_{\mathbf{s}}$ gives a noncontractible family ...
Georgios Dimitroglou Rizell, J. Evans
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FLOER HOMOLOGY FOR SYMPLECTOMORPHISM [PDF]
Communications in Contemporary Mathematics, 2009 Let (M,ω) be a compact symplectic manifold, and ϕ be a symplectic diffeomorphism on M, we define a Floer-type homology FH*(ϕ) which is a generalization of Floer homology for symplectic fixed points defined by Dostoglou and Salamon for monotone symplectic manifolds.
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Applications of Square Roots of Diffeomorphisms
Axioms, 2019 In this paper, we prove that on any contact manifold ( M , ξ ) there exists an arbitrary C ∞ -small contactomorphism which does not admit a square root.
Yoshihiro Sugimoto
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Symplectomorphisms of exotic discs [PDF]
Journal de l’École polytechnique — Mathématiques, 2018 We construct a symplectic structure on a disc that admits a compactly supported symplectomorphism which is not smoothly isotopic to the identity. The symplectic structure has an overtwisted concave end; the construction of the symplectomorphism is based on a unitary version of the Milnor–Munkres pairing.
Casals, Roger +3 more
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On Orbifold Criteria for Symplectic Toric Quotients
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly ...
Carla Farsi +2 more
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The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry
Complex Manifolds, 2017 Given a smooth spacelike surface ∑ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation p: π1 (S) → PSL2ℝ x PSL2ℝ where S is a closed oriented surface of genus ≥ 2, a canonical construction associates to ∑ a ...
Seppi Andrea
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On boundary behaviour of symplectomorphisms [PDF]
Kodai Mathematical Journal, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barletta, Elisabetta, Dragomir, Sorin
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Quantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?
New Journal of Physics, 2017 It is straightforward to compute the transition amplitudes of a quantum circuit using the sum-over-paths methodology when the gates in the circuit are balanced, where a balanced gate is one for which all non-zero transition amplitudes are of equal ...
Mark D Penney +2 more
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Lifting of polynomial symplectomorphisms and deformation quantization [PDF]
Communications in Algebra, 2018 We study the problem of lifting of polynomial symplectomorphisms in characteristic zero to automorphisms of the Weyl algebra by means of approximation by tame automorphisms. We utilize -- and reprove -- D. Anick's fundamental result on approximation of polynomial automorphisms, adapt it to the case of symplectomorphisms, and formulate the lifting ...
Alexei Kanel-Belov +4 more
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