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Symplectic microgeometry. III: Monoids. (English) Zbl 1281.53079

Authors’ abstract: We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgroupoids and Lagrangian submicrogroupoids (as morphisms), and the category of monoids and monoid morphisms in the microsymplectic category are equivalent symmetric monoidal categories.
For the first two parts see [Zbl 1201.53082; Zbl 1243.53121].

MSC:

53D17 Poisson manifolds; Poisson groupoids and algebroids
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