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Modular classes of Poisson maps


Modular classes of Poisson maps - Publish

We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the ...

[1103.4305] The modular class of a Poisson map - arXiv

We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior.

The modular class of a Poisson map - Numdam

We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the ...

The modular class of a Poisson map - Annales de l'institut Fourier

We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the ...

The modular class of a Poisson map - EuDML

How to cite ... Caseiro, Raquel, and Fernandes, Rui Loja. "The modular class of a Poisson map." Annales de l'institut Fourier 63.4 (2013): 1285-1329.

The modular class of a Poisson map - ResearchGate

Abstract. We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study ...

Poisson manifold - Wikipedia

In differential geometry, a field in mathematics, a Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold ...

On the modular classes of Poisson-Nijenhuis manifolds

When no confusion is possible, we denote by N both the. Nijenhuis tensor and its transpose, and by P both the Poisson bivector and the map from 1-forms to ...

modular classes of regular twisted poisson structures on lie algebroids

representation of the image of the Poisson map. We use this formula to com- pute the modular classes of Lie algebras with a twisted triangular r-matrix. The ...

The modular class of a regular Poisson manifold and the Reeb class ...

We show that, for any regular Poisson manifold, there is an injective natural linear map from the first leafwise cohomology space into the first Poisson ...

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey - arXiv

Title:Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey ; https://doi.org/10.48550/arXiv.0710.3098. Focus to learn more. arXiv-issued ...

The modular class of a Poisson map | Estudo Geral

We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the ...

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey* - EMIS

A Lie algebroid structure on a real vector bundle A → M is defined by a vector bundle map,. aA : A→TM, called the anchor of A, and an R-Lie ...

Modular Classes of Regular Twisted Poisson Structures on Lie ...

... Poisson structure in terms of a canonical Lie algebroid representation of the image of the Poisson map. We use this formula to compute the modular classes ...

Examples of Poisson Modules, II - CiteSeerX

We give a geometric description of different classes of. Poisson modules as introduced in [1]: we start with tensors tan- gent to leaves on a Poisson manifold, ...

(PDF) The modular class of a regular Poisson manifold and the ...

... Poisson cohomology space which maps the Reeb class of the symplectic foliation to the modular class of the Poisson manifold. The Riemannian interpretation ...

7.2 Poisson manifolds and their characteristics - Fiveable

Poisson tensor π# maps cotangent bundle. T*M to tangent ... Modular Class: The modular class is an important concept in the study of Poisson ...

Duality and modular class of a Nambu-Poisson structure - IOPscience

Also we study the relation between the existence of a duality for these theories and the vanishing of a particular Nambu-Poisson cohomology class, the modular ...

The modular class of a Dirac map - ScienceDirect.com

The modular class of a Poisson manifold [1] is a class lying in the first Poisson cohomology group, that obstructs the existence of a volume form invariant ...

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