Results 51 to 60 of about 10,350 (137)

Triangular Poisson structures on Lie groups and symplectic reduction

open access: yes, 2004
We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the
Hodges, Timothy J., Yakimov, Milen
core   +2 more sources

A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher order linking numbers

open access: yes, 2019
In this article a homotopy co-momentum map (\`a la Callies-Fr\'egier-Rogers-Zambon) trangressing to the standard hydrodynamical co-momentum map of Arnol'd, Marsden and Weinstein and others is constructed and then generalized to a special class of ...
Miti, Antonio Michele, Spera, Mauro
core  

Functorial quantization and the Guillemin-Sternberg conjecture

open access: yes, 2003
We propose that geometric quantization of symplectic manifolds is the arrow part of a functor, whose object part is deformation quantization of Poisson manifolds.
Landsman, N. P.
core   +1 more source

100 years of mathematical cosmology: Models, theories and problems, Part B. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2022
Cotsakis S, Yefremov AP.
europepmc   +1 more source

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