85 citations · 669 across the 34 of their papers we have counts for
38 papers
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…
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…
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…
An elementary alternative to ECH capacities
Michael Hutchings
The ECH capacities are a sequence of numerical invariants of symplectic four-manifolds which give (sometimes sharp) obstructions to symplectic embeddings. These capacities are defi…
PFH spectral invariants and closing lemmas
Oliver Edtmair, Michael Hutchings
We develop the theory of spectral invariants in periodic Floer homology (PFH) of area-preserving surface diffeomorphisms. We use this theory to prove closing lemmas for…
Contact three-manifolds with exactly two simple Reeb orbits
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
It is known that every contact form on a closed three-manifold has at least two simple Reeb orbits, and a generic contact form has infinitely many. We show that if there are exactl…