Geometric K-homology with coefficients I: Z/kZ-cycles and Bockstein sequence

被引：12

作者：

Deeley, Robin J. ^{[1
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

来源：

JOURNAL OF K-THEORY | 2012年 / 9卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

K-homology; geometric cycles; Z; /; kZ-manifolds; index theory; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; INDEX THEOREM; CSTAR-ALGEBRAS; OPERATORS; MANIFOLDS;

D O I：

10.1017/is011010022jkt170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a Baum-Douglas type model for K-homology with coefficients in Z / kZ. The basic geometric object in a cycle is a spin(c) Z / kZ-manifold. The relationship between these cycles and the topological side of the Freed-Melrose index theorem is discussed in detail. Finally, using inductive limits, we construct geometric models for K-homology with coefficients in any countable abelian group.

引用

页码：537 / 564

页数：28

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