Twisted Legendre transformation

zbMATH Open0935.37026arXivdg-ga/9612007MaRDI QIDQ4398527

Publication date: 9 May 2000

Abstract: The general framework of Legendre transformation is extended to the case of symplectic groupoids, using an appropriate generalization of the notion of generating function (of a Lagrangian submanifold).

Full work available at URL: https://arxiv.org/abs/dg-ga/9612007

zbMATH Keywords

Hamiltonian systems Poisson manifold Lagrangian submanifold symplectic groupoid Legendre transformations

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

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