Hamiltonian knottedness and lifting paths from the shape invariant

• Main Authors: Hind, Richard, Zhang, Jun
• Format: Journal Article
• Language: English
• Published: 10.05.2021
• Subjects: Mathematics - Symplectic Geometry

The Hamiltonian shape invariant of a domain $X \subset \mathbb R^4$, as a subset of $\mathbb R^2$, describes the product Lagrangian tori which may be embedded in $X$. We provide necessary and sufficient conditions to determine whether or not a path in the shape invariant can lift, that is, be realiz...