Year: 2013
Type: article
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.
Source: Journal of Symplectic Geometry
Institutions: University of Zurich, University of California, Berkeley
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funders: National Science Foundation, Indiana Corn Marketing Council, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Fundação de Amparo à Pesquisa do Estado de São Paulo, Universiteit Utrecht, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Universidade de São Paulo, Universität Zürich, UC Berkeley College of Chemistry
Awards: G1918939527, Generating functions in Poisson geometry, Integral invariants of knots and manifolds. Loop and path spaces and topological BF theories. Deformation quantization and Poisson sigma models, G569370293, Lie algebroids and groupoids, supermanifolds, and noncommutative geometry, Monoidal geometries
OpenAlex ID: W2950580712