Legendrian persistence modules and dynamics
Symplectic Geometry
2021-06-17 v2 Dynamical Systems
Abstract
We relate the machinery of persistence modules to the Legendrian contact homology theory and to Poisson bracket invariants, and use it to show the existence of connecting trajectories of contact and symplectic Hamiltonian flows.
Keywords
Cite
@article{arxiv.2101.03760,
title = {Legendrian persistence modules and dynamics},
author = {Michael Entov and Leonid Polterovich},
journal= {arXiv preprint arXiv:2101.03760},
year = {2021}
}
Comments
73 pages. Revised version, Theorem 1.5(ii) corrected. To appear in J. of Fixed Point Theory and Applications