Symplectic Microgeometry I: Micromorphisms
Symplectic Geometry
2020-03-13 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0905.3574,
title = {Symplectic Microgeometry I: Micromorphisms},
author = {Alberto S. Cattaneo and Benoit Dherin and Alan Weinstein},
journal= {arXiv preprint arXiv:0905.3574},
year = {2020}
}
Comments
16 pages, 1 figure, typos corrected