INVOLUTIONS OF KNOTS THAT FIX UNKNOTTING TUNNELS-Reference-Cited by-同舟云学术

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INVOLUTIONS OF KNOTS THAT FIX UNKNOTTING TUNNELS

Published:2007-08 Issue:06 Volume:16 Page:741-748
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

FUTER DAVID¹

Affiliation:

1. Mathematics Department, Michigan State University, East Lansing MI 48824, USA

Abstract

Let K be a knot that has an unknotting tunnel τ. We prove that K admits a strong involution that fixes τ pointwise if and only if K is a two-bridge knot and τ its upper or lower tunnel.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216507005506

Reference8 articles.

1. Unknotting tunnels in hyperbolic 3-manifolds

2. Heegaard splittings and branched coverings ofB 3

3. The equivariant Dehn's lemma and loop theorem

4. Chapter V On Thurston's Uniformization Theorem for Three-Dimensional Manifolds

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Equivariant Heegaard genus of reducible 3-manifolds;Mathematical Proceedings of the Cambridge Philosophical Society;2023-02-13

2. Parabolic generating pairs of genus-one 2-bridge knot groups;Journal of Knot Theory and Its Ramifications;2016-04

3. Dehn filling and the geometry of unknotting tunnels;Geometry & Topology;2013-07-10

4. MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS;Journal of Knot Theory and Its Ramifications;2013-04

5. The tree of knot tunnels;Geometry & Topology;2009-01-05

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