Pseudo-Anosov flows, hyperbolic geometry, and the curve graph
Abstract
Starting with a pseudo-Anosov flow on a closed hyperbolic 3-manifold M and an embedded surface S ⊂ M that is (almost) transverse to , we relate the hyperbolic geometry of M (e.g. volume, circumference, short geodesics) to dynamical invariants of encoded by the curve graph of S.
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