- Working Paper
Rights / licenseCreative Commons Attribution 4.0 International
Given a filling primitive geodesic loop in a closed hyperbolic surface one obtains a hyperbolic three-manifold as the complement of the loop's canonical lift to the projective tangent bundle. In this paper we give the first known lower bound for the volume of these manifolds in terms of the length of generic loops. We show that estimating the volume from below can be reduced to a counting problem in the unit tangent bundle and solve it by applying an exponential multiple mixing result for the geodesic flow. Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit08802 - Iozzi, Alessandra (Tit.-Prof.)
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