Complementary 2-forms of Poisson structures
Izu Vaisman (1996)
Compositio Mathematica
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Izu Vaisman (1996)
Compositio Mathematica
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Ping Xu (2003)
Annales scientifiques de l'École Normale Supérieure
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Hermann Flaschka, Tudor Ratiu (1996)
Annales scientifiques de l'École Normale Supérieure
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Manuel de León, David Martín de Diego (1995)
Extracta Mathematicae
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Henrique Bursztyn, Olga Radko (2003)
Annales de l’institut Fourier
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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 symplectic groupoid is affected by a gauge transformation of the Poisson structure on its identity section, and prove that gauge-equivalent integrable Poisson structures are Morita equivalent. As an example, we study certain generic sets of Poisson structures on Riemann surfaces: we find complete gauge-equivalence...