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2001 Concordance and 1–loop clovers
Stavros Garoufalidis, Jerome Levine
Algebr. Geom. Topol. 1(2): 687-697 (2001). DOI: 10.2140/agt.2001.1.687

Abstract

We show that surgery on a connected clover (or clasper) with at least one loop preserves the concordance class of a knot. Surgery on a slightly more special class of clovers preserves invertible concordance. We also show that the converse is false. Similar results hold for clovers with at least two loops vs. S–equivalence.

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Stavros Garoufalidis. Jerome Levine. "Concordance and 1–loop clovers." Algebr. Geom. Topol. 1 (2) 687 - 697, 2001. https://doi.org/10.2140/agt.2001.1.687

Information

Received: 10 July 2001; Revised: 14 November 2001; Accepted: 16 November 2001; Published: 2001
First available in Project Euclid: 21 December 2017

zbMATH: 0983.57004
MathSciNet: MR1875612
Digital Object Identifier: 10.2140/agt.2001.1.687

Subjects:
Primary: 57N10
Secondary: 57M25

Rights: Copyright © 2001 Mathematical Sciences Publishers

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