English

Thin position for a connected sum of small knots

Geometric Topology 2014-10-01 v1

Abstract

We show that every thin position for a connected sum of small knots is obtained in an obvious way: place each summand in thin position so that no two summands intersect the same level surface, then connect the lowest minimum of each summand to the highest maximum of the adjacent summand below.

Cite

@article{arxiv.math/0205125,
  title  = {Thin position for a connected sum of small knots},
  author = {Yo'av Rieck and Eric Sedgwick},
  journal= {arXiv preprint arXiv:math/0205125},
  year   = {2014}
}

Comments

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-14.abs.html

R2 v1 2026-07-22T16:45:19.671Z