Picard groups of topologically stable Poisson structures

Details Picard groups of topologically stable Poisson structures Picard groups of topologically stable Poisson structures

2004-08-04

arxiv.org/abs/math/0408070v1

Mathematics

Symplectic Geometry

Scientific paper

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson automorphisms.

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