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Symplectic microgeometry III: monoids

Cattaneo, Alberto S; Dherin, Benoît; Weinstein, Alan (2013). Symplectic microgeometry III: monoids. Journal of Symplectic Geometry, 11(3):319-341.

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.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Geometry and Topology
Language:English
Date:2013
Deposited On:15 Nov 2013 14:55
Last Modified:10 Jan 2025 02:39
Publisher:International Press
ISSN:1527-5256
OA Status:Closed
Publisher DOI:https://doi.org/10.4310/JSG.2013.v11.n3.a1
Related URLs:http://arxiv.org/abs/1109.4789

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