THE HOMOTOPY CLASSIFICATION OF PROPER FREDHOLM MAPS OF INDEX ONE

被引：0

作者：

Abbondandolo, Alberto ^{[1
]}

Rot, Thomas ^{[2
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, Univ Str 150,Gebaude IB 3-65, D-44801 Bochum, Germany

[2] Vrije Univ Amsterdam, Dept Wiskunde, De Boelelaan 1081a, NL-1081 HV Amsterdam, Netherlands

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 59卷 / 2A期

关键词：

Fredholm maps; Pontryagin-Thom construction; framed cobordism;

D O I：

10.12775/TMNA.2020.068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper, we classified the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold to its model space in terms of a suitable version of framed cobordism. We explicitly computed these homotopy classes for non-positive index. In this paper, we compute the homotopy classes of proper Fredholm maps of index one from a simply connected Hilbert manifold to its model space. This classification uses a new numerical invariant for proper Fredholm maps of index one.

引用

页码：585 / 621

页数：37

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