A new family of links topologically, but not smoothly, concordant to the Hopf link-Reference-Cited by-同舟云学术

A new family of links topologically, but not smoothly, concordant to the Hopf link

Published:2017-02 Issue:02 Volume:26 Page:1740002
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Davis Christopher W.¹,Ray Arunima²

Affiliation:

1. Department of Mathematics, The University of Wisconsin–Eau Claire, Eau Claire, WI 54701, USA

2. Department of Mathematics, Brandeis University, Waltham, MA 02453, USA

Abstract

We give new examples of 2-component links with linking number one and unknotted components that are topologically concordant to the positive Hopf link, but not smoothly so – in addition, they are not smoothly concordant to the positive Hopf link with a knot tied in the first component. Such examples were previously constructed by Cha–Kim–Ruberman–Strle; we show that our examples are distinct in smooth concordance from theirs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517400028

Reference22 articles.

1. Smooth concordance of links topologically concordant to the Hopf link

2. On equivariant slice knots

3. Covering link calculus and the bipolar filtration of topologically slice links

4. Generalized Seifert surfaces and signatures of colored links

5. Injectivity of satellite operators in knot concordance

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1. Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link;Transactions of the American Mathematical Society;2019-01-15