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The disk complex and topologically minimal surfaces in the 3-sphere
Journal of Knot Theory and Its Ramifications ( IF 0.3 ) Pub Date : 2020-12-20 , DOI: 10.1142/s0218216520500923
Marion Campisi 1 , Luis Torres 2
Affiliation  

We show that the disk complex of a genus [Formula: see text] Heegaard surface for the 3-sphere is homotopy equivalent to a wedge of [Formula: see text]-dimensional spheres. This implies that genus [Formula: see text] Heegaard surfaces for the 3-sphere are topologically minimal with index [Formula: see text].

中文翻译:

3 球体中的圆盘复曲面和拓扑最小曲面

我们证明了一个属的圆盘复合体[公式:见文本] Heegaard 曲面对于 3 球体是同伦等价于 [公式:见文本] 维球体的楔形。这意味着 3 球体的属 [公式:见文本] Heegaard 曲面在拓扑上是最小的,索引为 [公式:见文本]。
更新日期:2020-12-20
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