Mp-small summands increase knot width
Geometric Topology
2014-10-01 v2
Abstract
Scharlemann and Schultens have shown that for any pair of knots K_1 and K_2, w(K_1 # K_2) is greater than or equal to max{w(K_1),w(K_2)}. Scharlemann and Thompson have given a scheme for possible examples where equality holds. Using results of Scharlemann-Schultens, Rieck-Sedgwick and Thompson, it is shown that for K the connected sum of mp-small knots and K' any non-trivial knot, w(K # K')>w(K).
Cite
@article{arxiv.math/0406072,
title = {Mp-small summands increase knot width},
author = {Jacob Hendricks},
journal= {arXiv preprint arXiv:math/0406072},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-44.abs.html