Bottlenecks for Weil-Petersson geodesics
Geometric Topology
2020-01-31 v1 Differential Geometry
Metric Geometry
Abstract
We introduce a method for constructing Weil-Petersson (WP) geodesics with certain behavior in the Teichm\"{u}ller space. This allows us to study the itinerary of geodesics among the strata of the WP completion and its relation to subsurface projection coefficients of their end invariants. As an application we demonstrate the disparity between short curves in the universal curve over a WP geodesic and those of the associated hyperbolic -manifold.
Cite
@article{arxiv.2001.11476,
title = {Bottlenecks for Weil-Petersson geodesics},
author = {Yair Minsky and Babak Modami},
journal= {arXiv preprint arXiv:2001.11476},
year = {2020}
}
Comments
46 pages, 6 figures