Aïssa Wade

Chinea D.

Connes A.

Crainic M.

Dufour J.-P.

Kosmann-Schwarzbach Y.

Lichnerowicz A.

Mackenzie K. C. H.

Marrero J. C.

Olszak Z.

Samson Apourewagne Djiba

Weinstein A

Weinstein A.

 First we show that, associated to any Poisson vector field [Formula: see text] on a Poisson manifold [Formula: see text], there is a canonical Lie algebroid structure on the first jet bundle [Formula: see text] which, depends only on the cohomology class of [Formula: see text]. We then introduce the notion of a cosymplectic groupoid and we discuss the integrability of the first jet bundle into a cosymplectic groupoid. Finally, we give applications to Atiyah classes and [Formula: see text]-algebras. </jats:p

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International Journal of Geometric Methods in Modern Physics

Bicrossed products induced by Poisson vector fields and their integrability

Bicrossed products induced by Poisson vector fields and their integrability

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