Volume change under drilling

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 .

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper27.abs.html

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