Results 61 to 70 of about 1,106 (166)
Heavenly metrics, hyper‐Lagrangians and Joyce structures
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
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Relative family Gromov–Witten invariants and symplectomorphisms [PDF]
Pacific Journal of Mathematics, 2005 23 ...
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Limit of geometric quantizations on Kähler manifolds with T‐symmetry
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract A compact Kähler manifold M,ω,J$\left(M,\omega,J\right)$ with T$T$‐symmetry admits a natural mixed polarization Pmix$\mathcal {P}_{\mathrm{mix}}$ whose real directions come from the T$T$‐action. In Leung and Wang [Adv. Math. 450 (2024), 109756], we constructed a one‐parameter family of Kähler structures ω,Jt$\left(\omega,J_{t}\right)$’s with ...
Naichung Conan Leung, Dan Wang
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Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries
Studies in Applied Mathematics, Volume 153, Issue 1, July 2024.Abstract In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and standard symmetries which commute. We prove that such a reduction process produces a so‐called Kirillov Hamiltonian system. Moreover, we show that if we reduce first by the scaling symmetries and then by the standard ones or in the opposite order, we ...
A. Bravetti +3 more
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Evaluation fibrations and topology of symplectomorphisms [PDF]
Proceedings of the American Mathematical Society, 2004 There are two main results. The first states that isotropy subgroups of groups acting transitively on rationally hyperbolic spaces have infinitely generated rational cohomology algebra. Using this fact, we prove that the analogous statement holds for groups of symplectomorphisms of certain blowups.
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Extensions of quasi-morphisms to the symplectomorphism group of the disk [PDF]
Topology and its Applications, 2020 Shuhei Maruyama
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The group of Symplectomorphisms of $\mathbb{R}^{2n}$ and the Euler equations [PDF]
, 2023 Hasan İnci
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A POSITIVE ENERGY CHARACTERIZATION OF LINEAR SYMPLECTOMORPHISMS
Demonstratio Mathematica, 1999 Summary: We use elementary means from the theories of Hilbert spaces and self-adjoint operators to obtain the linear symplectomorphisms which preserve the positive energy condition.
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Families of monotone Lagrangians in Brieskorn-Pham hypersurfaces. [PDF]
Math Ann, 2021 Keating A.
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Symplectomorphisms of surfaces preserving a smooth function, I [PDF]
Topology and its Applications, 2018 Let $M$ be a compact orientable surface equipped with a volume form $ $, $P$ be either $\mathbb{R}$ or $S^1$, $f:M\to P$ be a $C^{\infty}$ Morse map, and $H$ be the Hamiltonian vector field of $f$ with respect to $ $. Let also $\mathcal{Z}_ (f) \subset C^{\infty}(M,\mathbb{R})$ be set of all functions taking constant values along orbits of $H$, and $
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