Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan Symplectic microgeometry. III: Monoids. (English) Zbl 1281.53079 J. Symplectic Geom. 11, No. 3, 319-341 (2013). 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]. Reviewer: Benjamin Cahen (Metz) Cited in 1 ReviewCited in 9 Documents MSC: 53D17 Poisson manifolds; Poisson groupoids and algebroids Keywords:Poisson manifold; symplectic microgeometry; monoid; symplectic microgroupoid Citations:Zbl 1201.53082; Zbl 1243.53121 PDF BibTeX XML Cite \textit{A. S. Cattaneo} et al., J. Symplectic Geom. 11, No. 3, 319--341 (2013; Zbl 1281.53079) Full Text: DOI arXiv Link OpenURL