Analytic torsion forms for fibrations by projective curves

Author:

Köhler Kai

Abstract

AbstractAn explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in Arakelov geometry in the corresponding setting. The main tool is a new description of Bismut’s equivariant Bott–Chern current in the case of isolated fixed points.

Funder

Heinrich-Heine-Universität Düsseldorf

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference39 articles.

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5. Bismut, J.-M.: The Atiyah–Singer index theorem for families of Dirac operators: two heat equation proofs. Invent. Math. 83(1), 91–151 (1986)

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