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
收藏
页码：1061 / 1078
页数：18
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