Results 21 to 30 of about 17,957 (257)
Simultaneous deformations and Poisson geometry [PDF]
Compositio Mathematica, 2015 We consider the problem of deforming simultaneously a pair of given structures. We show that such deformations are governed by an $L_{\infty }$
Frégier, Yaël, Zambon, Marco
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The momentum map in Poisson geometry [PDF]
American Journal of Mathematics, 2009 Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.
Fernandes, Rui Loja +2 more
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Deformed graded Poisson structures, generalized geometry and supergravity
Journal of High Energy Physics, 2020 In recent years, a close connection between supergravity, string effective actions and generalized geometry has been discovered that typically involves a doubling of geometric structures.
Eugenia Boffo, Peter Schupp
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Courant Algebroids and Poisson Geometry [PDF]
International Mathematics Research Notices, 2009 Given a manifold M with an action of a quadratic Lie algebra d, such that all stabilizer algebras are co-isotropic in d, we show that the product M\times d becomes a Courant algebroid over M. If the bilinear form on d is split, the choice of transverse Lagrangian subspaces g_1, g_2 of d defines a bivector field on M, which is Poisson if (d,g_1,g_2) is ...
Li-Bland, David, Meinrenken, Eckhard
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Journal of Geometry and Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edwin J. Beggs, Shahn Majid
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Poisson geometry and the Kashiwara–Vergne conjecture [PDF]
Comptes Rendus. Mathématique, 2002 We give a Poisson-geometric proof of the Kashiwara–Vergne conjecture for quadratic Lie algebras, based on the equivariant Moser trick.
Alekseev, Anton, Meinrenken, E.
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Poisson-generalized geometry and R-flux [PDF]
International Journal of Modern Physics A, 2015 We study a new kind of Courant algebroid on Poisson manifolds, which is a variant of the generalized tangent bundle in the sense that the roles of tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect product of [Formula: see text]-diffeomorphisms and [Formula: see text]-transformations.
Asakawa, Tsuguhiko +3 more
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Affine Poisson and affine quasi-Poisson T-duality
Nuclear Physics B, 2019 We generalize the Poisson–Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson–Lie group. We also introduce a new notion of an affine
Ctirad Klimčík
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Dynamic Point Cloud Compression Based on Projections, Surface Reconstruction and Video Compression
Sensors, 2021 In this paper we will present a new dynamic point cloud compression based on different projection types and bit depth, combined with the surface reconstruction algorithm and video compression for obtained geometry and texture maps. Texture maps have been
Emil Dumic +2 more
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Para-Hermitian geometries for Poisson-Lie symmetric σ-models
Journal of High Energy Physics, 2019 The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit a maximally isotropic subgroup.
Falk Hassler +2 more
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