417 citations · 2.4k across the 99 of their papers we have counts for
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math.SG2011★ 14 cited
Symplectic Microgeometry III: Monoids
Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein
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 mono…
math.SG2011★ 9 cited
Symplectic Microgeometry II: Generating functions
Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein
We adapt the notion of generating functions for lagrangian submanifolds to symplectic microgeometry. We show that a symplectic micromorphism always admits a global generating funct…