Symplectic excision
Abstract
We use time-independent incomplete Hamiltonian flows to excise interesting closed subsets of positive codimension from symplectic manifolds.Examples of such subsets include what we call a "Cantor brush", a "box with a tail", and, more generally, epigraphs of lower semicontinuous functions.This answers a question of Alan Weinstein about excision of a ray, and it generalizes a result of Bernd Stratmann about excision of the product of a ray with a manifold.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Geometry and complex manifolds
Publication details
- Journal / source
- Geometry & Topology
- Publisher
- Mathematical Sciences Publishers
- Volume
- 30
- Issue
- 6
- Pages
- 2217–2249
- Publication date
- 31 July 2026
- Language
- EN