The direct image of a flat fibration with complex fibers
Differential Geometry
2017-02-16 v1
Abstract
We consider a proper flat fibration with real base and complex fibers. First we construct odd characteristic classes for such fibrations by a method that generalizes constructions of Bismut-Lott. Then we consider the direct image of a fiberwise holomorphic vector bundle, which is a flat vector bundle on the base. We give a Riemann-Roch-Grothendieck theorem calculating the odd real characteristic classes of this flat vector bundle.
Keywords
Cite
@article{arxiv.1702.04428,
title = {The direct image of a flat fibration with complex fibers},
author = {Yeping Zhang},
journal= {arXiv preprint arXiv:1702.04428},
year = {2017}
}