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.
机构:
Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA
Amherst Coll, Dept Math & Stat, 31 Quadrangle Dr, Amherst, MA 01002 USAUniv Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA
Contreras, Ivan
Martinez Alba, Nicolas
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Univ Nacl Colombia, Fac Ciencias, Dept Matemat, Sede Bogota, Carrera 45 26-85, Bogota 111321, ColombiaUniv Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA