Symplectic Microgeometry I: Micromorphisms

Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein
Arxiv ID: 0905.3574Last updated: 3/13/2020
We introduce the notion of symplectic microfolds and symplectic micromorphisms between them. They form a monoidal category, which is a version of the "category" of symplectic manifolds and canonical relations obtained by localizing them around lagrangian submanifolds in the spirit of Milnor's microbundles.

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