Legendrian persistence modules and dynamics

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. © 2022, The Author(s), under exclusive licence to Springer Nature Switz...

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Bibliographic Details
Main Authors: Entov, M. (Author), Polterovich, L. (Author)
Format: Article
Language:English
Published: Birkhauser 2022
Online Access:View Fulltext in Publisher
Description
Summary: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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
ISBN:16617738 (ISSN)
DOI:10.1007/s11784-022-00944-x