Journal of Symplectic Geometry
- J. Symplectic Geom.
- Volume 8, Number 2 (2010), 205-223.
Symplectic microgeometry I: micromorphisms
Alberto S. Cattaneo, Benoit Dherin, and Alan Weinstein
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.
Article information
Source
J. Symplectic Geom., Volume 8, Number 2 (2010), 205-223.
Dates
First available in Project Euclid: 15 July 2010
Permanent link to this document
https://projecteuclid.org/euclid.jsg/1279199215
Mathematical Reviews number (MathSciNet)
MR2670165
Zentralblatt MATH identifier
1201.53082
Citation
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan. Symplectic microgeometry I: micromorphisms. J. Symplectic Geom. 8 (2010), no. 2, 205--223. https://projecteuclid.org/euclid.jsg/1279199215
See also
- See also: Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein. Symplectic microgeometry III: monoids. J. Symplectic Geom., vol. 11, no. 3 (2013), 319-341.Project Euclid: euclid.jsg/1384282839
- See also: Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein. Symplectic microgeometry II: generating functions. Bull. Braz. Math. Soc. (N.S.) 42 (2011), no. 4, 507–536. Mathematical Reviews (MathSciNet): MR2861777
