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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
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