51 citations · 209 across the 27 of their papers we have counts for
4 papers · 1 filter
On the large-scale geometry of domains in an exact symplectic 4-manifold
Dan Cristofaro-Gardiner, Richard Hind
We show that the space of open subsets of any complete and exact symplectic -manifold has infinite dimension with respect to the symplectic Banach-Mazur distance; the quasi-flat…
Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
We prove that every Reeb flow on a closed connected three-manifold has either two or infinitely many simple periodic orbits, assuming that the associated contact structure has tors…
On the agreement of symplectic capacities in high dimension
Dan Cristofaro-Gardiner, Richard Hind
A theorem of Gutt-Hutchings-Ramos asserts that all normalized symplectic capacities give the same value for monotone four-dimensional toric domains. We generalize this theorem to a…
Boundaries of open symplectic manifolds and the failure of packing stability
Dan Cristofaro-Gardiner, Richard Hind
A finite volume symplectic manifold is said to have "packing stability" if the only obstruction to symplectically embedding sufficiently small balls is the volume obstruction. Pack…