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Left-orderable fundamental group and Dehn surgery on twist knots

Preprint

Author(s): Ryoto Hakamata , Masakazu Teragaito

Publication date Created: 2012-12-27

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Abstract

For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by \(r\)-surgery on the knot has left-orderable fundamental group if the slope \(r\) satisfies the inequality \(0\le r \le 4\).

Related collections

Most cited references 10

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Irreducible Unitary Representations of the Lorentz Group

V. Bargmann (1947)

0 comments Cited 180 times – based on 0 reviews      Review now

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On knot Floer homology and lens space surgeries

Peter S. Ozsváth, Zoltan Szabo (2005)

0 comments Cited 139 times – based on 0 reviews      Review now

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Incompressible surfaces in 2-bridge knot complements

A Hatcher, W. P. Thurston (1985)

0 comments Cited 114 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 2012-12-27

Article

ArXiV ID: 1212.6305

SO-VID: d7081725-d59c-4915-8af7-1c25794133a1

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 57M25, 06F15

Comments 12 pages, 2 figures

Categories math.GT math.GR

ScienceOpen disciplines: Geometry & Topology,Algebra

Data availability:

ScienceOpen disciplines: Geometry & Topology, Algebra

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