ALTERNATING AUGMENTATIONS OF LINKS-Reference-Cited by-同舟云学术

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ALTERNATING AUGMENTATIONS OF LINKS

Published:2009-01 Issue:01 Volume:18 Page:67-73
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BLAIR RYAN C.¹

Affiliation:

1. Department of Mathematics, University of California, Santa Barbara, USA

Abstract

We show that one can interweave an unknot into any non-alternating connected projection of a link so that the resulting augmented projection is alternating. As a corollary, we strengthen a result of Myers in the case of link complements in S3.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216509006835

Reference4 articles.

1. C. Adams, Low Dimensional Topology and Kleinian Groups, London Mathematical Society Lecture Notes Series 112 (Cambridge University Press, Cambridge, 1986) pp. 115–130.

2. Closed incompressible surfaces in alternating knot and link complements

3. An upper bound for the breadth of the Jones polynomial

Cited by 3 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. Adequate links in thickened surfaces and the generalized Tait conjectures;Algebraic & Geometric Topology;2023-07-25

2. Twist number and the alternating volume of knots;Journal of Knot Theory and Its Ramifications;2019-01

3. The link volume of 3–manifolds;Algebraic & Geometric Topology;2013-04-05

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