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arxiv: 0905.3574 · v3 · pith:WOHM66FCnew · submitted 2009-05-21 · 🧮 math.SG · math-ph· math.MP

Symplectic Microgeometry I: Micromorphisms

classification 🧮 math.SG math-phmath.MP
keywords symplecticcategorymicromorphismsthemaroundcanonicalformintroduce
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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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