Seiberg-Witten vanishing theorem for S1-manifolds with fixed points

被引：15

作者：

Baldridge, S ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2004年 / 217卷 / 01期

关键词：

D O I：

10.2140/pjm.2004.217.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Seiberg-Witten invariant is zero for all smooth 4-manifolds with b(+)> 1 that admit circle actions having at least one fixed point. We also show that all symplectic 4-manifolds that admit (possibly nonsymplectic) circle actions with fixed points are rational or ruled, and thus admit a symplectic circle action.

引用

页码：1 / 10

页数：10

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