Algebraic & Geometric Topology Volume 13, issue 3 (2013)

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Restricting the topology of $1$–cusped arithmetic $3$–manifolds

Mark D Baker and Alan W Reid

Algebraic & Geometric Topology 13 (2013) 1273–1298

DOI: 10.2140/agt.2013.13.1273

Abstract

This paper makes progress on classifying those closed orientable $3$ –manifolds $M$ that contain knots $K$ so that $M ∖ K$ is arithmetic.

Keywords

arithmetic knot, cusped hyperbolic manifold, spherical orbifolds, homology $3$–spheres

Mathematical Subject Classification 2010

Primary: 57M50, 57M25

Secondary: 57M10

References

Publication

Received: 30 January 2012

Revised: 4 September 2012

Accepted: 4 October 2012

Published: 24 April 2013

Authors

Mark D Baker
IRMAR Université de Rennes 1 35042 Rennes Cedex FRANCE

Alan W Reid
Department of Mathematics University of Texas 1 Station C1200 Austin, TX 78712 USA