Volume change under drilling
Geometric Topology
2014-11-11 v4 Differential Geometry
Abstract
Given a hyperbolic 3-manifold M containing an embedded closed geodesic, we estimate the volume of a complete hyperbolic metric on the complement of the geodesic in terms of the geometry of M. As a corollary, we show that the smallest volume orientable hyperbolic 3-manifold has volume >.32 .
Cite
@article{arxiv.math/0101138,
title = {Volume change under drilling},
author = {Ian Agol},
journal= {arXiv preprint arXiv:math/0101138},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper27.abs.html