Algebraic & Geometric Topology 1 (2001) 687–697

DOI: 10.2140/agt.2001.1.687

arXiv: math.GT/0102102

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.

Keywords

concordance, S–equivalence, clovers, finite type invariants

Mathematical Subject Classification

Primary: 57N10

Secondary: 57M25

References

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Publication

Received: 10 July 2001
Revised: 14 November 2001
Accepted: 16 November 2001
Published: 19 November 2001

Authors