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arXiv · 2208.14370

Analytic torsion forms for fibrations by projective curves

Kai Koehler
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Abstract

An 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.

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Kai Koehler. 2022-08-30. Analytic torsion forms for fibrations by projective curves. https://arxiv.org/abs/2208.14370

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