The fibrewise Leray-Schauder index

被引：4

作者：

Crabb, M. C. ^{[1
]}

机构：

[1] Univ Aberdeen, Dept Math Sci, Aberdeen AB24 3UE, Scotland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2007年 / 1卷 / 01期

关键词：

Leray-Schauder; Lefschetz fixed-point index; Poincare-Hopf vector field index;

D O I：

10.1007/s11784-006-0009-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The index constructed by Leray and Schauder in 1934 admits generalizations in two directions to infinite-dimensional fixed-point and vector field indices. We present the constructions of fibrewise equivariant indices of both types and illustrate the definitions by applications to the stable homotopy Fuller index and Seiberg-Witten invariant.

引用

页码：3 / 30

页数：28

共 31 条

[1]

[Anonymous], 2004, REMARKABLE SHRIMPS A

[2] INDEX OF ELLIPTIC OPERATORS .4. [J].

ATIYAH, MF ;

SINGER, IM .

ANNALS OF MATHEMATICS, 1971, 93 (01) :119-&

[3]

ATIYAH MF, 1968, ANN MATH, V87, P484, DOI 10.2307/1970715

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

Bauer S. ;

Furuta M. .

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

[5] A degree theory for a class of perturbed Fredholm maps [J].

Benevieri, Pierluigi ;

Calamai, Alessandro ;

Furi, Massimo .

FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (02) :185-206

[6]

Borisovich Y.G., 1977, RUSS MATH SURV, V32, P3, DOI 10.1070/RM1977v032n04ABEH001638

[7]

Carter R., 1995, London Mathematical Society Student Texts, V32

[8]

Crabb M., 1998, Fibrewise Homotopy Theory

[9]

CRABB MC, 1989, LOND MATH S, V139, P21

[10]

CRABB MC, 1990, ASTERISQUE, P71

← 1 2 3 4 →