Results 1 to 10 of about 1,106 (166)
Infinite lifting of an action of symplectomorphism group on the set of bi-Lagrangian structures [PDF]
The Journal of Geometric Mechanics, 2022 We consider a smooth \begin{document}$ 2n $\end{document}-manifold \begin{document}$ M $\end{document} endowed with a bi-Lagrangian structure \begin{document}$ (\omega,\mathcal{F}_{1},\mathcal{F}_{2}) $\end{document}.
Bertuel Tangue Ndawa
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Generating Function of Monodromy Symplectomorphism for 2 × 2 Fuchsian Systems and Its WKB Expansion
Zurnal matematiceskoj fiziki, analiza, geometrii, 2023 We study the WKB expansion of $2\times 2$ system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy symplectomorphism which, according to a recent paper is closely related to ...
Marco Bertola +2 more
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On symplectomorphisms and Hamiltonian flows [PDF]
Journal of Fixed Point Theory and Applications, 2022 AbstractWe propose the construction of a sequence of time one flows of autonomous Hamiltonian vector fields, converging to a fixed near the identity $$C^1$$ C 1 symplectic diffeomorphism $$\psi $$ ψ .
Franco Cardin
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Commutator length of symplectomorphisms [PDF]
Commentarii Mathematici Helvetici, 2001 Each element x of the commutator subgroup [G, G] of a group G can be represented ...
Michael Entov
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Invariance of Polarization Induced by Symplectomorphisms [PDF]
, 2021 In this paper we define an action by the symplectomorphisms on a symplectic manifold on the space of real singular polarizations. It is then shown that under some topological conditions, this action preserves quantization by a fixed prequantum line bundle.
Ethan Ross
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Classification of coadjoint orbits for symplectomorphism groups of surfaces [PDF]
International mathematics research notices, 2020 We classify generic coadjoint orbits for symplectomorphism groups of compact symplectic surfaces with or without boundary. We also classify simple Morse functions on such surfaces up to a symplectomorphism.
I. A. Kirillov
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On periodic points of symplectomorphisms on surfaces [PDF]
Pacific Journal of Mathematics, 2018 We construct a symplectic flow on a surface of genus g greater than one with exactly 2g-2 hyperbolic fixed points and no other periodic orbits. Moreover, we prove that a (strongly non-degenerate) symplectomorphism of a surface (with genus g greater than one) isotopic to the identity has infinitely many periodic points if there exists a fixed point with
Marta Batoréo
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W-algebras from symplectomorphisms
, 1999 It is shown how $W$-algebras emerge from very peculiar canonical transformations with respect to the canonical symplectic structure on a compact Riemann surface. The action of smooth diffeomorphisms of the cotangent bundle on suitable generating functions is written in the BRS framework while a $W$-symmetry is exhibited.
G. Bandelloni, S. Lazzarini
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Sobolev H1 geometry of the symplectomorphism group [PDF]
Differential Geometry and its Applications, 2017 For a closed symplectic manifold $(M, )$ with compatible Riemannian metric $g$ we study the Sobolev $H^1$ geometry of the group of all $H^s$ diffeomorphisms on $M$ which preserve the symplectic structure. We show that, for sufficiently large $s$, the $H^1$ metric admits globally defined geodesics and the corresponding exponential map is a non-linear ...
J. Benn, A. Suri
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Stability of the symplectomorphism groups of rational surfaces
Mathematische Annalen, 2023 31 pages; v2, added stronger results on space of ball embeddings; v3, improved exposition.
Sílvia Anjos +3 more
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