Symplectic excision

Abstract: We consider closed subsets of a noncompact symplectic manifold and determine when they can be removed by a symplectomorphism, in which case we say the subsets are symplectically excisable. We prove that, in the case of a ray and more generally, the embedding of the epigraph of a lower semi-continuous function, there is a time-independent Hamiltonian flow that excises it from a noncompact symplectic manifold.

arxiv.org/abs/2101.03534

mathematical physicsalgebraic geometrydifferential geometrydynamical systemssymplectic geometry

Audience: researchers in the topic

( paper )

Junior Global Poisson Workshop II