Equivariant aspects of Yang-Mills Floer theory

被引：42
|
作者：
Froyshov, KA [1 ]
机构：
[1] Harvard Univ, Dept Math, Ctr Sci, Cambridge, MA 02138 USA
来源：
TOPOLOGY | 2002年 / 41卷 / 03期
基金：
美国国家科学基金会;
关键词：
Floer homology; mu-map; homology cobordism; finite type; Donaldson invariants; 4-manifolds;
D O I：
10.1016/S0040-9383(01)00018-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the u-map in instanton Floer homology using Floer's exact surgery triangle. As an application we prove that the Donaldson invariants of simply-connected smooth 4-manifolds have finite type. We also construct an additive homology cobordism invariant of homology 3-spheres which is monotone with respect to definite cobordisms. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：525 / 552
页数：28
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