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
收藏
页码：537 / 564
页数：28
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