Concordance and 1-loop clovers
Geometric Topology
2014-10-01 v2 Quantum Algebra
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.
Cite
@article{arxiv.math/0102102,
title = {Concordance and 1-loop clovers},
author = {Stavros Garoufalidis and Jerome Levine},
journal= {arXiv preprint arXiv:math/0102102},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-33.abs.html