Rasmussen s-invariants of satellites do not detect slice knots-Reference-Cited by-同舟云学术

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Rasmussen s-invariants of satellites do not detect slice knots

Published:2017-02 Issue:02 Volume:26 Page:1740001
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Cha Jae Choon¹²,Kim Min Hoon²

Affiliation:

1. Department of Mathematics, POSTECH, Pohang 37673, Republic of Korea

2. School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea

Abstract

We present a large family of knots for which the Rasmussen [Formula: see text]-invariants of arbitrary satellites do not detect sliceness. This answers a question of Hedden. The proof hinges on work of Kronheimer–Mrowka and Cochran–Harvey–Horn.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517400016

Reference17 articles.

1. J. C. Cha, The Structure of the Rational Concordance Group of Knots, Memoirs of the American Mathematical Society, Vol. 189, No. 885 (American Mathematical Society, Providence, RI, 2007), pp. x+95.

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

3. Filtering smooth concordance classes of topologically slice knots

4. On knot Floer homology and cabling

Cited by 1 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. On rational sliceness of Miyazaki's fibered, −amphicheiral knots;Bulletin of the London Mathematical Society;2018-04-06

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