Volume change under drilling

Details Volume change under drilling Volume change under drilling

2001-01-17

arxiv.org/abs/math/0101138v4

Geom. Topol. 6(2002) 905-916

Mathematics

Geometric Topology

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

Scientific paper

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 .

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