Concordance and 1-loop clovers

Details Concordance and 1-loop clovers Concordance and 1-loop clovers

2001-02-13

arxiv.org/abs/math/0102102v2

Algebr. Geom. Topol. 1 (2001) 687-697

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-33.abs.html

Scientific paper

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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