Exact Lagrangian caps of Legendrian knots

被引：6
|
作者：
Lin, Francesco [1 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
来源：
JOURNAL OF SYMPLECTIC GEOMETRY | 2016年 / 14卷 / 01期
关键词：
D O I：
10.4310/JSG.2016.v14.n1.a10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that any Legendrian knot in (S-3, xi(std)) bounds an exact Lagrangian surface in R-4 \ B-4 after a sufficient number of stabilizations. In order to do this, we define Lagrangian projections, consisting of a knot projection along with some additional information, and construct a family of combinatorial moves which correspond to Lagrangian cobordisms between knots.
引用
收藏
页码：269 / 295
页数：27
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