3 papers
math.SG2004
Picard groups of topologically stable Poisson structures
Olga Radko, Dimitri Shlyakhtenko
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 tenso…
math.SG2002
Gauge equivalence of Dirac structures and symplectic groupoids
Henrique Bursztyn, Olga Radko
We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a sy…
math.SG2001
A classification of topologically stable Poisson structures on a compact oriented surface
Olga Radko
Poisson structures vanishing linearly on a set of smooth closed disjoint curves are generic in the set of all Poisson structures on a compact connected oriented surface. We constru…