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Symplectic Microgeometry I: Micromorphisms
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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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