Symplectic Microgeometry III: Monoids
Symplectic Geometry
2020-03-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1109.4789,
title = {Symplectic Microgeometry III: Monoids},
author = {Alberto S. Cattaneo and Benoit Dherin and Alan Weinstein},
journal= {arXiv preprint arXiv:1109.4789},
year = {2020}
}
Comments
19 pages, 2 figures