4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AT2019★ 4 cited
Topological Persistence in Geometry and Analysis
Leonid Polterovich, Daniel Rosen, Karina Samvelyan +1
The theory of persistence modules is an emerging field of algebraic topology which originated in topological data analysis. In these notes we provide a concise introduction into th…
math.SG2016★ 2 cited
Rigidity versus flexibility of the Poisson bracket with respect to the -norm
Karina Samvelyan
Rigidity of the Poisson bracket with respect to the uniform norm is one of the central phenomena discovered within function theory on symplectic manifolds. In the present work we e…
math.SG2016★ 1 cited
Rigidity of the L^p norm of the Poisson bracket on surfaces
Karina Samvelyan, Frol Zapolsky
For a symplectic manifold let be the corresponding Poisson bracket. In this note we prove that the functional is lower-se…