Legendrian theta-graphs
Legendrian theta-graphs
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传奇θ图
DOI：
10.2140/pjm.2014.270.191
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Elena Pavelescu
中科院分区：
文献类型：
--
作者：
Danielle O'Donnol;Elena Pavelescu
本文给出了两个整数三元组可分别表示为无圈Legendrian θ-图的Thurston-Bennequin数和旋转数的充要条件。我们表明，这些不变量是不够的，以确定一个拓扑平面θ-图的Legendrian类。本文定义了Legendrian图的横向推离，并确定了Legendrian θ-图的横向推离的自链接数。在拓扑平面θ-图的情况下，我们证明了横向推出的拓扑类型是一个椒盐卷饼链接。
In this article we give necessary and sufficient conditions for two triples of integers to be realized as the Thurston-Bennequin number and the rotation number of a Legendrian theta-graph with all cycles unknotted. We show that these invariants are not enough to determine the Legendrian class of a topologically planar theta-graph. We define the transverse push-off of a Legendrian graph and we determine its self linking number for Legendrian theta-graphs. In the case of topologically planar theta-graphs, we prove that the topological type of the transverse push-off is that of a pretzel link.