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Legendrian contact homology and topological entropy
[article]
2017
arXiv
pre-print
In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair of Legendrian knots in a contact 3-manifold (M,ξ) the strip Legendrian contact homology is defined and has exponential homotopical growth with respect to the action, then every Reeb flow on (M,ξ) has positive topological entropy. This has the
arXiv:1410.3381v5
fatcat:vzaei4jhurfabmfi7c76fu35pu