Symplectic Microgeometry I: Micromorphisms

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.

16 pages, 1 figure, typos corrected

References in corpus (1)

• Formal Lagrangian Operad

Cited by in corpus (13)

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• Thick morphisms of supermanifolds and oscillatory integral operators
• Formal Lagrangian Operad
• G-Systems and Deformation of G-Actions On Rd
• Symplectic Microgeometry IV: Quantization
• Quantizations of Momentum Maps and G-Systems
• Lagrangian Relations and Quantum $L_{\infty }$ Algebras