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

Mark D Baker; Alan W Reid

doi:10.2140/agt.2013.13.1273

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Home > Journals > Algebr. Geom. Topol. > Volume 13 > Issue 3 > Article

2013 Restricting the topology of $1$–cusped arithmetic $3$–manifolds

Mark D Baker, Alan W Reid

Algebr. Geom. Topol. 13(3): 1273-1298 (2013). DOI: 10.2140/agt.2013.13.1273

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Abstract

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

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Mark D Baker. Alan W Reid. "Restricting the topology of $1$–cusped arithmetic $3$–manifolds." Algebr. Geom. Topol. 13 (3) 1273 - 1298, 2013. https://doi.org/10.2140/agt.2013.13.1273

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Received: 30 January 2012; Revised: 4 September 2012; Accepted: 4 October 2012; Published: 2013

First available in Project Euclid: 19 December 2017

zbMATH: 1275.57024

MathSciNet: MR3071128

Digital Object Identifier: 10.2140/agt.2013.13.1273

Subjects:

Primary: 57M25 , 57M50

Secondary: 57M10

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

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Mark D Baker, Alan W Reid "Restricting the topology of $1$–cusped arithmetic $3$–manifolds," Algebraic & Geometric Topology, Algebr. Geom. Topol. 13(3), 1273-1298, (2013)

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