Results 11 to 20 of about 22,063 (297)
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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Poisson–Riemannian geometry [PDF]
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 Related to Atiyah Sequences [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We construct and investigate a short exact sequence of Poisson $\mathcal{VB}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid $\frac{T^*P\times T^*P}{G}\rightrightarrows \frac{T^*P}{G}$. The semidirect product
Mackenzie, K.C. +2 more
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Geometry of Manifolds and Applications
MathematicsThis editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
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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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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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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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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 principal bundles [PDF]
, 2021 We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld ...
Majid, S +3 more
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Twisted Poincare duality for some quadratic Poisson algebras [PDF]
, 2007 We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
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