Picard groups of topologically stable Poisson structures

Olga Radko, Dimitri Shlyakhtenko

Type: Article

Publication Date: 2006-03-01

Citations: 6

DOI: https://doi.org/10.2140/pjm.2006.224.151

Abstract

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.

Locations

Pacific Journal of Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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+	On decompositions of discrete groups of motions of the plane	1981	H Zeischang