Regulators and characteristic classes of flat bundles
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
This is a substantial revision of the older version of this paper. The main result of the old version (the equality, up to a factor of 2 of the Beilinson and Borel regulators) is now a conjecture. The main results give equality of Beilinson chern classes and Cheeger-Simons-Chern classes in various situations such as for flat bundles over quasi projective varieties. We also prove the equality (up to a factor of two) of the Borel regulator element and the universal Cheeger-Simons Chern class.
Keywords
Cite
@article{arxiv.alg-geom/9202023,
title = {Regulators and characteristic classes of flat bundles},
author = {Johan Dupont and Richard Hain and Steven Zucker},
journal= {arXiv preprint arXiv:alg-geom/9202023},
year = {2008}
}
Comments
45 pages, Plain TeX. This will appear in "The Arithmetic and Geometry of Algebraic Cycles", Proc. of CRM Summer School, Banff, AMS, 2000