Journal of Symplectic Geometry

Volume 8 (2010)

Number 2

Symplectic microgeometry I: micromorphisms

Pages: 205 – 223



Alberto S. Cattaneo

Benoit Dherin

Alan Weinstein


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.

Published 1 January 2010