Results 61 to 70 of about 762 (171)

The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley   +1 more source

Discrete dynamics and supergeometry

Journal of High Energy Physics
We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and naturally incorporates laboratories.
Subhobrata Chatterjee, Andrew Waldron, Cem Yetişmişoğlu   +2 more
doaj   +1 more source

Linear Hamiltonian Vector Fields on Lie Groups

Mathematics
Linear vector fields on Lie groups constitute a fundamental class of dynamical systems, as their flows are one-parameter subgroups of automorphisms and their infinitesimal behavior is entirely determined by derivations of the Lie algebra.
Víctor Ayala, María Luisa Torreblanca Todco   +1 more
doaj   +1 more source

The shallow water equations: conservation laws and symplectic geometry

International Journal of Mathematics and Mathematical Sciences, 1987
We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Böcklund transformations for these equations.
Yilmaz Akyildiz
doaj   +1 more source

Probabilistic correlation functions of the Schwarzian field theory

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley   +1 more source

The symplectic geometry of p-form gauge fields

Journal of High Energy Physics
We formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of submanifolds of
Chris Hull, Maxim Zabzine
doaj   +1 more source

Derived Stacks in Symplectic Geometry [PDF]

, 2021
This is a survey paper on derived symplectic geometry, that will appear as a chapter contribution to the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel Catren. Our goal is to explain how derived stacks can be useful for ordinary symplectic geometry, with an emphasis on examples coming from classical topological field ...
openaire   +3 more sources

Locally conformal symplectic manifolds

International Journal of Mathematics and Mathematical Sciences, 1985
A locally conformal symplectic (l. c. s.) manifold is a pair (M2n,Ω) where M2n(n>1) is a connected differentiable manifold, and Ω a nondegenerate 2-form on M such that M=⋃αUα (Uα- open subsets). Ω/Uα=eσαΩα, σα:Uα→ℝ, dΩα=0.
Izu Vaisman
doaj   +1 more source

Symplectic Analytical Solutions for the Magnetoelectroelastic Solids Plane Problem in Rectangular Domain

Journal of Applied Mathematics, 2011
The transversely isotropic magnetoelectroelastic solids plane problem in rectangular domain is derived to Hamiltonian system. In symplectic geometry space with the origin variables—displacements, electric potential, and magnetic potential, as well as ...
Xiao-Chuan Li, Wei-An Yao
doaj   +1 more source

Variational principle and phase space measure in non-canonical coordinates

Atti 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