Symplectic Microgeometry I: Micromorphisms

Details Symplectic Microgeometry I: Micromorphisms Symplectic Microgeometry I: Micromorphisms

2009-05-21

arxiv.org/abs/0905.3574v3

Mathematics

Symplectic Geometry

16 pages, 1 figure, typos corrected

Scientific paper

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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