# Volume change under drilling

@article{Agol2002VolumeCU,
title={Volume change under drilling},
author={I. Agol},
journal={Geometry \& Topology},
year={2002},
volume={6},
pages={905-916}
}
• I. Agol
• Published 2002
• Mathematics
• Geometry & Topology
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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