Divisibility of great webs and reducible Dehn surgery
Geometric Topology
2014-10-14 v1
Abstract
We use the combinatorial techniques of graphs of intersection to study reducible Dehn surgeries on knots in the three-sphere. In particular, in the event that a reducible surgery on a knot K in the three-sphere of slope r produces a manifold with more than two connected summands, we show that r is bounded in absolute value by the bridge number of K. As a consequence, this possibility is ruled out for knots with bridge number at most five and for positive braid closures.
Keywords
Cite
@article{arxiv.1410.3442,
title = {Divisibility of great webs and reducible Dehn surgery},
author = {Nicholas Zufelt},
journal= {arXiv preprint arXiv:1410.3442},
year = {2014}
}
Comments
11 pages, 5 figures