Contact surgeries on Legendrian figure-eight knots

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2019-01-01 DOI:10.4310/jsg.2019.v17.n4.a4

J. Conway

引用次数: 3

Abstract

We show that all positive contact surgeries on every Legendrian ﬁgure-eight knot in ( S 3 , ξ std ) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.

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联系勒让德式八字结手术

我们证明了在(s3， ξ std)中的每一个Legendrian 8字形结上的所有正接触手术都会导致一个过扭的接触结构。利用凸面理论和Heegaard flower同调中的不变量进行证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.