Results 81 to 90 of about 58,877 (128)

Functorial constructions related to double Poisson vertex algebras

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec   +2 more
wiley   +1 more source

Variational principle and phase space measure in non-canonical coordinates

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2005
Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates.
Sergi, A
doaj   +1 more source

The Higgs mechanism — Hasse diagrams for symplectic singularities

open access: yesJournal of High Energy Physics, 2020
We explore the geometrical structure of Higgs branches of quantum field theories with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic singularities, and as such admit a decomposition (or foliation ) into so-called symplectic leaves, which
Antoine Bourget   +6 more
doaj   +1 more source

A Construction of Multisender Authentication Codes with Sequential Model from Symplectic Geometry over Finite Fields

open access: yesJournal of Applied Mathematics, 2014
Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message.
Shangdi Chen, Chunli Yang
doaj   +1 more source

Toric Geometry of the Regular Convex Polyhedra

open access: yesJournal of Mathematics, 2017
We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the ...
Fiammetta Battaglia, Elisa Prato
doaj   +1 more source

Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition

open access: yesShock and Vibration, 2019
This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD).
Hang Jin   +3 more
doaj   +1 more source

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yesComplex Manifolds, 2015
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply ...
Bazzoni Giovanni   +2 more
doaj   +1 more source

Poisson geometry, monoidal Fukaya categories, and commutative Floer cohomology rings

open access: yes, 2018
We describe connections between concepts arising in Poisson geometry and the theory of Fukaya categories. The key concept is that of a symplectic groupoid, which is an integration of a Poisson manifold.
Pascaleff, James
core  

Geometric Models for Lie–Hamilton Systems on ℝ2

open access: yesMathematics, 2019
This paper provides a geometric description for Lie−Hamilton systems on R 2 with locally transitive Vessiot−Guldberg Lie algebras through two types of geometric models. The first one is the restriction of a class of Lie−Hamilton
Julia Lange, Javier de Lucas
doaj   +1 more source

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