Abstract
We prove a theorem that bounds the Heegaard genus from below under special kinds of toroidal amalgamations of –manifolds. As a consequence, we conclude that for any pair of knots , where denotes the tunnel number of .
Citation
Trenton Schirmer. "A lower bound on tunnel number degeneration." Algebr. Geom. Topol. 16 (3) 1279 - 1308, 2016. https://doi.org/10.2140/agt.2016.16.1279
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