3 papers
math.SG2026
Elementary spectral invariants and three-dimensional Reeb dynamics
Michael Hutchings
We survey various recent results on the existence and properties of periodic orbits of Reeb vector fields in three dimensions. We give an introduction to the "elementary spectral i…
math.DS2025
Braid stability for periodic orbits of area-preserving surface diffeomorphisms
Michael Hutchings
We consider an area-preserving diffeomorphism of a compact surface, which is assumed to be an irrational rotation near each boundary component. A finite set of periodic orbits of t…
math.SG2024
Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds
Michael Hutchings
In a previous paper, we defined an "elementary" alternative to the ECH capacities of symplectic four-manifolds, using max-min energy of holomorphic curves subject to point constrai…