在环状节之间的一属

arXiv: Geometric Topology Pub Date : 2019-10-03 DOI:10.1093/IMRN/RNAA027

P. Feller, Junghwan Park

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引用次数: 7

摘要

我们确定在它们之间有一个属一配体的环面结对，有一个值得注意的例外。这是通过使用Heegaard flower结复杂的$\nu^+$组合障碍物和显式协数结构来完成的。作为一个应用，我们确定了由单个交叉变化相关的环面结对。此外，我们还确定了Thurston-Bennequin数最大化的Legendrian环面结对，这些环面结具有一个精确拉格朗日配边，但有一个例外。

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Genus One Cobordisms Between Torus Knots

We determine the pairs of torus knots that have a genus one cobordism between them, with one notable exception. This is done by combining obstructions using $\nu^+$ from the Heegaard Floer knot complex and explicit constructions of cobordisms. As an application, we determine the pairs of torus knots related by a single crossing change. Also, we determine the pairs of Thurston-Bennequin number maximizing Legendrian torus knots that have a genus one exact Lagrangian cobordism, with one exception.

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arXiv: Geometric Topology

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