Universal orderability of Legendrian isotopy classes

被引：15

作者：

Chernov, Vladimir ^{[1
]}

Nemirovski, Stefan ^{[2
,3
]}

机构：

[1] Dartmouth Coll, Dept Math, 6188 Kemeny Hall, Hanover, NH 03755 USA

[2] Steklov Math Inst, Gubkina 8, Moscow 119991, Russia

[3] Ruhr Univ Bochum, Math Inst, D-44780 Bochum, Germany

来源：

JOURNAL OF SYMPLECTIC GEOMETRY | 2016年 / 14卷 / 01期

关键词：

CAUSALITY; LINKING; SPACE;

D O I：

10.4310/JSG.2016.v14.n1.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that non-negative Legendrian isotopy defines a partial order on the universal cover of the Legendrian isotopy class of the fibre of the spherical cotangent bundle of any manifold. This result is applied to Lorentz geometry in the spirit of the authors' earlier work on the Legendrian Low conjecture.

引用

页码：149 / 170

页数：22

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