This note introduces the construction of relational symplectic groupoids as a way to integrate every Poisson manifold. Examples are provided and the equivalence, in the integrable case, with the usual notion of symplectic groupoid is discussed.
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Univ La Laguna, Unidad Asociada ULL CSIC Geometria Diferencia & M, Dept Matemat Fundamental, Fac Matemat, Tenerife, Canary Islands, SpainUniv La Laguna, Unidad Asociada ULL CSIC Geometria Diferencia & M, Dept Matemat Fundamental, Fac Matemat, Tenerife, Canary Islands, Spain
Carlos Marrero, Juan
Martin de Diego, David
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UAM, Inst Ciencias Matemat CSIC UAM UCM UC3M, Madrid 28049, SpainUniv La Laguna, Unidad Asociada ULL CSIC Geometria Diferencia & M, Dept Matemat Fundamental, Fac Matemat, Tenerife, Canary Islands, Spain
Martin de Diego, David
Stern, Ari
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Washington Univ, Dept Math, St Louis, MO 63130 USAUniv La Laguna, Unidad Asociada ULL CSIC Geometria Diferencia & M, Dept Matemat Fundamental, Fac Matemat, Tenerife, Canary Islands, Spain