Regulators and characteristic classes of flat bundles

Details Regulators and characteristic classes of flat bundles Regulators and characteristic classes of flat bundles

1992-02-20

arxiv.org/abs/alg-geom/9202023v2

Mathematics

Algebraic Geometry

45 pages, Plain TeX. This will appear in "The Arithmetic and Geometry of Algebraic Cycles", Proc. of CRM Summer School, Banff,

Scientific paper

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.

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