Characteristic classes of flat bundles. II
type: Item
instance of: scholarly article
title: Characteristic classes of flat bundles. II
zbMATH Open document ID: 0784.57011
DOI: 10.1007/BF00961334
published in: \(K\)-Theory
publication date: 1993-04-01T00:00:00Z
review text: [For Part I see Topology 27, No. 3, 323-352 (1988; Zbl 0699.32016).] The author's abstract: ``On a smooth variety \(X\) defined over a field \(K\) of characteristic zero, one defines characteristic classes of bundles with an integrable \(K\)-connection in a group lifting the Chow group, which map, when \(K\) is the field of complex numbers and \(X\) is proper, to Cheeger-Simons' secondary analytic invariants, compatibly with the cycle map in the Deligne cohomology''.
reviewed by: I. Mihuţ
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 55N25
Mathematics Subject Classification ID: 14F20
zbMATH DE Number: 149765
zbMATH Keywords: field of characteristic zero
zbMATH Keywords: integrable \(K\)-connection
zbMATH Keywords: smooth variety
zbMATH Keywords: characteristic classes
zbMATH Keywords: Chow group
zbMATH Keywords: cycle map in the Deligne cohomology
author: Hélène Esnault
MaRDI profile type: Publication
cites work: Regulators and characteristic classes of flat bundles
cites work: Characteristic classes of flat bundles
cites work: A note on the cycle map.
cites work: Chern classes of vector bundles with holomorphic connections on a complete smooth complex variety
cites work: Q3697133
cites work: Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
description: scientific article; zbMATH DE number 149765