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

页码：525 / 552

页数：28

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