Topological entropy for Reeb vector fields in dimension three via open book decompositions
Topological entropy for Reeb vector fields in dimension three via open book decompositions
Given an open book decomposition of a closed contact three manifold (M,ξ) with pseudo-Anosov monodromy, connected binding, and fractional Dehn twist coefficient c=k/n, we construct a Legendrian knot Λ close to the stable foliation of a page, together with a small Legendrian pushoff Λ ^. When k≥5, we apply the …