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

Publisher： Cambridge University Press

E-ISSN： 1865-5394|9|3|537-564

ISSN： 1865-2433

Source： Journal of K-Theory, Vol.9, Iss.3, 2011-11, pp. : 537-564

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

We construct a Baum-Douglas type model for K-homology with coefficients in ℤ/kℤ. The basic geometric object in a cycle is a spinc 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.

Related content

Flat bundles, von Neumann algebras and K-theory with ℝ/ℤ-coefficients

By  

Journal of K-Theory, Vol. 13, Iss. 2, 2014-04 ,pp. : 275-303 (29)

Cambridge University Press

Access to resources Recommend Favorite

Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism

By  

Journal of K-Theory, Vol. 12, Iss. 2, 2013-08 ,pp. : 235-256 (22)

Cambridge University Press

Access to resources Recommend Favorite

K-cycles for twisted K-homology

By  

Journal of K-Theory, Vol. 12, Iss. 1, 2013-08 ,pp. : 69-98 (30)

Cambridge University Press

Access to resources Recommend Favorite

Sojourn time in ℤ+ for the Bernoulli random walk on ℤ

By Lachal Aimé  

ESAIM: Probability and Statistics, Vol. 16, Iss. issue, 2012-08 ,pp. : 324-351 (28)

Edp Sciences

Access to resources Recommend Favorite

Direct Sums of Mod p Characters of Gal(ℚ̅/ℚ) and the Homology of GL ( n ,ℤ)

By Ash Avner  

Communications in Algebra, Vol. 41, Iss. 5, 2013-05 ,pp. : 1751-1775 (25)

Taylor & Francis Ltd

Access to resources Recommend Favorite