Heegaard splittings of distance exactlyn

• DOI: 10.2140/agt.2014.14.1395
• Publication Date: 2014-04-07T18:49:17Z
• Authors: Ayako Ido; Yeonhee Jang; Tsuyoshi Kobayashi
• Keywords: Heegaard splitting

In this paper, we show that, for any integers $n\geq 2$ and $g\geq 2$, there exist genus-$g$ Heegaard splittings of compact 3-manifolds with distance exactly $n$.