A lower bound on tunnel number degeneration
Geometric Topology
2016-07-20 v1
Abstract
We prove a theorem which bounds Heegaard genus from below under special kinds of toroidal amalgamations of -manifolds. As a consequence, we conclude for any pair of knots , where denotes the tunnel number of .
Keywords
Cite
@article{arxiv.1407.3554,
title = {A lower bound on tunnel number degeneration},
author = {Trent Schirmer},
journal= {arXiv preprint arXiv:1407.3554},
year = {2016}
}
Comments
22 pages, 6 figures