Dehn surgery on complicated fibered knots in the 3-sphere
Geometric Topology
2016-04-19 v1
Abstract
Let K be a fibered knot in the 3-sphere. We show that if the monodromy of K is sufficiently complicated, then Dehn surgery on K cannot yield a lens space. Work of Yi Ni shows that if K has a lens space surgery then it is fibered. Combining this with our result we see that if K has a lens space surgery then it is fibered and the monodromy is relatively simple.
Keywords
Cite
@article{arxiv.1604.04902,
title = {Dehn surgery on complicated fibered knots in the 3-sphere},
author = {Abigail Thompson},
journal= {arXiv preprint arXiv:1604.04902},
year = {2016}
}