Abstract
In this paper, we introduce a new concept of strongly keen for Heegaard splittings, and show that, for any integers $n\geq 2$ and $g\geq 3$, there exists a strongly keen Heegaard splitting of genus $g$ whose Hempel distance is $n$.
Information
Published: 1 January 2018
First available in Project Euclid: 4 October 2018
zbMATH: 1423.57039
MathSciNet: MR3839950
Digital Object Identifier: 10.2969/aspm/07810293
Subjects:
Primary:
57M50
Keywords:
curve complex
,
distance
,
Heegaard splitting
Rights: Copyright © 2018 Mathematical Society of Japan
