Geodesic
Concordance and 1–loop clovers
Garoufalidis, Stavros1 ; Levine, Jerome2
1Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK
2Department of Mathematics, Brandeis University, Waltham MA 02254-9110, USA
Algebraic and Geometric Topology, Tome 1 (2001) no. 2, pp. 687-697
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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.

DOI : 10.2140/agt.2001.1.687
Keywords: concordance, $S$–equivalence, clovers, finite type invariants

Garoufalidis, Stavros  1   ; Levine, Jerome  2

1 Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK
2 Department of Mathematics, Brandeis University, Waltham MA 02254-9110, USA 
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Garoufalidis, Stavros; Levine, Jerome. Concordance and 1–loop clovers. Algebraic and Geometric Topology, Tome 1 (2001) no. 2, pp. 687-697. doi: 10.2140/agt.2001.1.687

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