7 citations · 9 across the 12 of their papers we have counts for
13 papers
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.
On the (Dis)connection Between Growth and Primitive Periodic Points
Adi Glücksam, Shira Tanny
In 1972, Cornalba and Shiffman showed that the number of zeros of an order zero holomorphic function in two or more variables can grow arbitrarily fast. We generalize this finding…
Ergodic closing lemmas and invariant Lagrangians
Erman Cineli, Sobhan Seyfaddini, Shira Tanny
Motivated by the ergodic closing lemma of Mañé, we investigate the closing lemma in higher-dimensional Hamiltonian systems, with a focus on the statistical behavior of p…
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…
Contact homology and higher dimensional closing lemmas
Julian Chaidez, Ipsita Datta, Rohil Prasad +1
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the…
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…
Applications of Grothendieck's inequality to linear symplectic geometry
Efim Gluskin, Shira Tanny
Recently in symplectic geometry there arose an interest in bounding various functionals on spaces of matrices. It appears that Grothendieck's theorems about factorization are a use…
Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds
Yaniv Ganor, Shira Tanny
We study the Floer-theoretic interaction between disjointly supported Hamiltonians by comparing Floer-theoretic invariants of these Hamiltonians with the ones of their sum. These i…
Poisson Brackets of Partitions of Unity on Surfaces
Lev Buhovsky, Alexander Logunov, Shira Tanny
Given an open cover of a closed symplectic manifold, consider all smooth partitions of unity consisting of functions supported in the covering sets. The Poisson bracket invariant o…
On local Weyl equivalence of higher order Fucshian equations
Shira Tanny, Sergei Yakovenko
We study the local classification of higher order Fuchsian linear differential equations under various refinements of the classical notion of the "type of differential equation" in…