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Resumen de Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières

Gilbert Hector Árbol académico, Enrique Macías-Virgós Árbol académico, M. Saralegi

  • Regular Poisson structures with fixed characteristic foliation F are described by means of foliated symplectic forms. Associated to each of these structures, there is a class in the second group of foliated cohomology H2(F). Using a foliated version of Moser's lemma, we study the isotopy classes of these structures in relation with their cohomology class. Explicit examples, with dim F = 2, are described.

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