Symplectic microgeometry I: micromorphisms

Publication date

2010-06

Authors

Cattaneo, A.S.
Dherin, B.R.U.
Weinstein, A.

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Article
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Abstract

We introduce the notion of symplectic microfolds and symplectic micromorphisms between them. They form a symmetric 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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Citation

Cattaneo, A S, Dherin, B R U & Weinstein, A 2010, 'Symplectic microgeometry I: micromorphisms', Journal of Symplectic Geometry, vol. 8, no. 2, pp. 205-223. < https://projecteuclid.org/journals/journal-of-symplectic-geometry/volume-8/issue-2/Symplectic-microgeometry-I-micromorphisms/jsg/1279199215.full >