3 papers
math.SG2022
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…
math.SG2021
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…
math.SG2020
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…