Rasmussen s-invariants of satellites do not detect slice knots

Jae Choon Cha; Min Hoon Kim

doi:10.1142/S0218216517400016

Rasmussen s-invariants of satellites do not detect slice knots

Jae Choon Cha, Min Hoon Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present a large family of knots for which the Rasmussen s-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.

Original language	English
Article number	1740001
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	2
DOIs	https://doi.org/10.1142/S0218216517400016
State	Published - 1 Feb 2017

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

bipolar filtration
Kronheimer-Mrowka
Rasmussen invariant
satellite operation

Access to Document

10.1142/S0218216517400016

Cite this

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title = "Rasmussen s-invariants of satellites do not detect slice knots",

abstract = "We present a large family of knots for which the Rasmussen s-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.",

keywords = "bipolar filtration, Kronheimer-Mrowka, Rasmussen invariant, satellite operation",

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AU - Kim, Min Hoon

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KW - bipolar filtration

KW - Kronheimer-Mrowka

KW - Rasmussen invariant

KW - satellite operation

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