7 papers · 1 filter
Periodicity characterization by capacities for star-shaped domains
Jean Gutt, Vinicius G. B. Ramos, Shira Tanny
We complete the spectral characterization of Besse and Zoll Reeb flows on the standard contact sphere initiated by Ginzburg-Gürel-Mazzucchelli. Roughly speaking, it stat…
On Zoll Contact 5-Spheres
Julian Chaidez, Shira Tanny
We prove that any contact form on the standard contact 5-sphere with Zoll Reeb flow is strictly contactomorphic to a scaling of the standard Zoll contact form.
Properties of contact toric structures and concave boundaries of linear plumbings
Aleksandra Marinković, Jo Nelson, Ana Rechtman +3
We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact st…
Elementary SFT Spectral Gaps And The Strong Closing Property
Julian Chaidez, Shira Tanny
We formulate elementary SFT spectral invariants of a large class of symplectic cobordisms and stable Hamiltonian manifolds, in any dimension. We give criteria for the strong closin…
A local-to-global inequality for spectral invariants and an energy dichotomy for Floer trajectories
Lev Buhovsky, Shira Tanny
We study a local-to-global inequality for spectral invariants of Hamiltonians whose supports have a ``large enough" tubular neighborhood on semipositive symplectic manifolds. In pa…
A max inequality for spectral invariants of disjointly supported Hamiltonians
Shira Tanny
We study the relation between spectral invariants of disjointly supported Hamiltonians and of their sum. On aspherical manifolds, such a relation was established by Humilière, Le R…