A remark on an algebraic Riemann-Roch formula for flat bundles

Details A remark on an algebraic Riemann-Roch formula for flat bundles A remark on an algebraic Riemann-Roch formula for flat bundles

1997-01-27

arxiv.org/abs/alg-geom/9701015v1

Mathematics

Algebraic Geometry

Latex2e

Scientific paper

We propose an algebraic Riemann-Roch formula for moving flat bundles on
contant families in characteristic zero with values in the ring of algebraic
differential characters. This formula lifts Grothendieck-Riemann-Roch formula
in the Chow groups and Bismut-Lott formula in the odd dimensional Betti
cohomology with $\C/\Z$ coefficients over the field of complex numbers.

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