Vol. 219, No. 2, 2005

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Huitao Feng & Xiaonan Ma

Abstract

We prove a Bott-type residue formula twisted by Λ(V*) with a holomorphic vector bundle V, and relate certain analytic torsions on the total manifold to the analytic torsions on the zero set of a holomorphic section of V.

Keywords

analytic torsion, characteristic classes, characteristic numbers, residue formula

Mathematical Subject Classification

Primary: 58J52, 32L10, 58J20, 32C35, 57R20

Authors
Huitao Feng
College of Mathematical Sciences
Nankai University
300071, Tianjin
China
Xiaonan Ma
Centre de Mathématiques
UMR 7640 du CNRS
École Polytechnique
91128 Palaiseau Cedex
France