Monopoles over 4-manifolds containing long necks, I

被引：4

作者：

Froyshov, KA ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

GEOMETRY & TOPOLOGY | 2005年 / 9卷

关键词：

floer homology; Seiberg-Witten; Bauer-Furuta; compactness; monopoles;

D O I：

10.2140/gt.2005.9.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study moduli spaces of Seiberg-Witten monopoles over spin(c) Riemannian 4-manifolds with long necks and/or tubular ends. This first part discusses compactness, exponential decay, and transversality. As applications we prove two vanishing theorems for Seiberg-Witten invariants.

引用

页码：1 / 93

页数：93

共 32 条

[1]

Adams R., 1975, PURE APPL MATH, V65

[2]

[Anonymous], ANN SCUOLA NORM SUP

[3] 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

[4]

ATIYAH MF, 1965, ANN MATH STUDIES, V57

[5] Zero sets of solutions to semilinear elliptic systems of first order [J].

Bär, C .

INVENTIONES MATHEMATICAE, 1999, 138 (01) :183-202

[6]

Bauer S, 2004, INT MAT SER, P1

[7] A stable cohomotopy refinement of Seiberg-Witten invariants: I [J].

Bauer S. ;

Furuta M. .

Inventiones mathematicae, 2004, 155 (1) :1-19

[8]

Bauer S, 2004, INVENT MATH, V155, P21, DOI 10.1007/s00222-003-0289-4

[9]

Dieudonne J., 1960, Pure and Applied Mathematics, V10

[10]

Donaldson S.K., 1990, The Geometry of Four-Manifolds

← 1 2 3 4 →