The Seiberg-Witten invariants and 4-manifolds with essential tori

被引:30
作者
Taubes, Clifford Henry [1 ]
机构
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
关键词
Seiberg-Witten invariants; gluing theorems;
D O I
10.2140/gt.2001.5.441
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A formula is given for the Seiberg-Witten invariants of a 4-manifold that is cut along certain kinds of 3-dimensional tori. The formula involves a Seiberg-Witten invariant for each of the resulting pieces.
引用
收藏
页码:441 / 519
页数:79
相关论文
共 23 条
[1]  
Aronszajn N., 1957, J. Math. Pures Appl, V36, P235
[2]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69
[3]  
ATIYAH MF, 1988, MATH HERITAGE H WEYL, V48, P285
[4]  
Donaldon S.K., 1990, OXFORD MATH MONOGRAP
[5]   Knots, links, and 4-manifolds [J].
Fintushel, R ;
Stern, RJ .
INVENTIONES MATHEMATICAE, 1998, 134 (02) :363-400
[6]  
Fintushel R., 1998, DOC MATH EXTRA, P443
[7]  
JAFFE A, 1980, VORTICES MONOPOLES S
[8]  
Kotshick D, UNPUB
[9]  
Kronheimer PB, 1994, MATH RES LETT, V1, P797
[10]  
Lim Y, SEIBERG WITTEN INVAR