Search Results for author: Leonid Polterovich

Found 2 papers, 0 papers with code

Lagrangian configurations and Hamiltonian maps

no code implementations11 Feb 2021 Leonid Polterovich, Egor Shelukhin

We study configurations of disjoint Lagrangian submanifolds in certain low-dimensional symplectic manifolds from the perspective of the geometry of Hamiltonian maps.

Symplectic Geometry Dynamical Systems 53Dxx

Topological Persistence in Geometry and Analysis

no code implementations8 Apr 2019 Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang

The theory of persistence modules is an emerging field of algebraic topology which originated in topological data analysis.

Algebraic Topology Classical Analysis and ODEs Symplectic Geometry 55U99, 58Cxx, 53Dxx

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