中文

Concordance and 1-loop clovers

几何拓扑 2014-10-01 v2 量子代数

摘要

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.

引用

@article{arxiv.math/0102102,
  title  = {Concordance and 1-loop clovers},
  author = {Stavros Garoufalidis and Jerome Levine},
  journal= {arXiv preprint arXiv:math/0102102},
  year   = {2014}
}

备注

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