The Seiberg-Witten equations and the Weinstein conjecture

被引:146
作者
Taubes, Clifford Henry [1 ]
机构
[1] Harvard Univ, Dept Math, Cambridge, MA 02133 USA
关键词
D O I
10.2140/gt.2007.11.2117
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let M denote a compact, oriented 3-dimensional manifold and let a denote a contact 1-form on M; thus a Lambda da is nowhere zero. This article proves that the vector field that generates the kernel of da has a closed integral curve.
引用
收藏
页码:2117 / 2202
页数:86
相关论文
共 29 条
[1]  
Abbas C, 2005, COMMENT MATH HELV, V80, P771
[2]  
BERGER M, 1971, LECT NOTES MATH, V1194
[3]  
BERLIN EN, 2004, HEAT KERNELS DIRAC O
[4]   Pseudo-holomorphic curves and the Weinstein conjecture [J].
Chen, WM .
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2000, 8 (01) :115-131
[5]   HEAT KERNEL ESTIMATES AND LOWER BOUND OF EIGENVALUES [J].
CHENG, SY ;
LI, P .
COMMENTARII MATHEMATICI HELVETICI, 1981, 56 (03) :327-338
[6]  
COLIN V, 2005, REEB VECTOR FIELDS O
[7]  
EIASHBERG Y, 2000, GEOM FUNCT ANAL, P560
[8]   Four-dimensional symplectic cobordisms containing three-handles [J].
Gay, David T. .
GEOMETRY & TOPOLOGY, 2006, 10 :1749-1759
[9]  
Hofer H, 2000, GEOM FUNCT ANAL, P674
[10]  
Hofer H., 1997, IAS PARK CITY MATH S, V7, P35