Contact surgeries on Legendrian figure-eight knots

被引：1

作者：

Conway, James ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, 970 Evans Hall 3840, Berkeley, CA 94720 USA

来源：

JOURNAL OF SYMPLECTIC GEOMETRY | 2019年 / 17卷 / 04期

关键词：

HEEGAARD FLOER INVARIANTS; SZABO INVARIANTS; 3-MANIFOLDS;

D O I：

10.4310/JSG.2019.v17.n4.a4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：1061 / 1078

页数：18

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