Work

On the relation between action and linking

Year: 2021

Type: article

Abstract: We introduce numerical invariants of contact forms in dimension three and use asymptotic cycles to estimate them. As a consequence, we prove a version for Anosov Reeb flows of results due to Hutchings and Weiler on mean actions of periodic points. The main tool is the Action-Linking Lemma, expressing the contact area of a surface bounded by periodic orbits as the Liouville average of the asymptotic intersection number of most trajectories with the surface.

Source: Journal of Modern Dynamics

DOI: 10.3934/jmd.2021011

Authors: David Bechara Senior, Umberto L. Hryniewicz, Pedro A. S. Salomão

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Universidade Federal do Rio de Janeiro

OpenAlex ID: W3035145771

FWCI: 2.078

Cites: 16

Cited by: 8

Related to: 20