论文标题

具有高分数Dehn Twist系数的非最低开放书籍的示例

Examples of non-minimal open books with high fractional Dehn twist coefficient

论文作者

Feller, Peter, Hubbard, Diana

论文摘要

在此简短的说明中,我们为三个manifolds构建了开放书籍的示例,这些示例表明,开放书的单调的任意高扭曲并不能保证在支持相同接触歧管的开放书籍中,页面的欧拉(Euler)特征的最大性。我们发现了开放书籍的例子,因为Malyutin和Netsvetaev研究的封闭辫子的双分支封面。

In this short note we construct examples of open books for 3-manifolds that show that arbitrarily high twisting of the monodromy of the open book does not guarantee maximality of the Euler characteristic of the pages among the open books supporting the same contact manifold. We find our examples of open books as the double branched covers of families of closed braids studied by Malyutin and Netsvetaev.

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