Journal of Symplectic Geometry
Volume 8 (2010)
Symplectic microgeometry I: micromorphisms
Pages: 205 – 223
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.