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.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of fixed point theory and applications 2022-06, Vol.24 (2), Article 30
Hauptverfasser:	Entov, Michael, Polterovich, Leonid
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics Symplectic geometry - A Festschrift in honour of Claude Viterbo’s 60th birthday
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1661-7738 1661-7746
DOI:	10.1007/s11784-022-00944-x