辛的帽子

Pub Date : 2022-10-12 DOI:10.1112/topo.12258

John B. Etnyre, Marco Golla

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引用次数: 6

摘要

我们研究了接触子流形之间的相对辛协，特别是空集的相对辛协，我们称之为帽。虽然我们在更高的维度上进行了一些观察，但我们关注的是标准3球中的横向结，以及(穿孔)复杂投影平面的放大图。我们应用该构造给出了分支于某些横向拟正结上的3球的双复盖填充的代数拓扑的约束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Symplectic hats

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Symplectic hats

We study relative symplectic cobordisms between contact submanifolds, and in particular relative symplectic cobordisms to the empty set, that we call hats. While we make some observations in higher dimensions, we focus on the case of transverse knots in the standard 3-sphere, and hats in blow-ups of the (punctured) complex projective planes. We apply the construction to give constraints on the algebraic topology of fillings of double covers of the 3-sphere branched over certain transverse quasipositive knots.

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