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Conformally symplectic structures and the Lefschetz condition
Comptes Rendus. MathématiqueThis short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally ...
Lejmi, Mehdi, Wilson, Scott O.
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Extended Riemannian geometry II: local heterotic double field theory
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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Geometric Quantization and Epistemically Restricted Theories: The Continuous Case [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic ...
Ivan Contreras, Ali Nabi Duman
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Symplectic Toric Geometry and the Regular Dodecahedron
Journal of Mathematics, 2015 The regular dodecahedron is the only simple polytope among the platonic solids which is not rational. Therefore, it corresponds neither to a symplectic toric manifold nor to a symplectic toric orbifold.
Elisa Prato
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SYMPLECTIC GEOMETRIES ON SUPERMANIFOLDS [PDF]
International Journal of Modern Physics A, 2008 Extension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry on supermanifolds endowed with a nondegenerate Poisson bracket) or to the geometry on an even Fedosov supermanifolds.
Lavrov, P. M., Radchenko, O. V.
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Symplectic Applicability of Lagrangian Surfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Emilio Musso
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Supertransvectants and Symplectic Geometry [PDF]
International Mathematics Research Notices, 2008 We consider the $osp(1|2)$-invariant bilinear operations on weighted densities on the supercircle $S^{1|1}$ called the supertransvectants. These operations are analogues of the famous Gordan transvectants (or Rankin-Cohen brackets). We prove that these operations coincide with the iterated Poisson and ghost Poisson brackets on ${\mathbb R}^{2|1}$ and ...
Gargoubi, Hichem, Ovsienko, Valentin
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Symplectic Geometry of Entanglement [PDF]
Communications in Mathematical Physics, 2011 LaTex, 31 pages, typos ...
Sawicki, Adam +2 more
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The Anatomical Record, EarlyView.Abstract The ray‐finned fishes include one out of every two species of living vertebrates on Earth and have an abundant fossil record stretching 380 million years into the past. The division of systematic knowledge of ray‐finned fishes between paleontologists working on extinct animals and neontologists studying extant species has obscured the ...
Jack Stack
wiley +1 more source
Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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