论文标题
在Legendrian结的支持属上
On the Support Genus of Legendrian Knots
论文作者
论文摘要
在本文中，我们表明，$ s^1 \ times s^2 $中的任何拓扑结或链接都位于一个开放式书籍分解的平面页面上，该页面的单曲子是阳性dehn Twists的产物。结果，$ s^1 \ times s^2 $中的任何结或链接类型都有一个具有支持属的传统代表。我们还向镜头空间$ L（p，1）$中的某些结和链接显示了这一点。
In this paper, we show that any topological knot or link in $S^1 \times S^2$ sits on a planar page of an open book decomposition whose monodromy is a product of positive Dehn twists. As a consequence, any knot or link type in $S^1 \times S^2$ has a Legendrian representative having support genus zero. We also show this holds for some knots and links in the lens spaces $L(p,1)$.
