Transversal holomorphic sections and localization of analytic torsions

Huitao Feng and Xiaonan Ma

Vol. 219 (2005), No. 2, 255–270

DOI: 10.2140/pjm.2005.219.255

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 2000

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

Milestones

Received: 25 July 2003

Revised: 13 February 2004

Published: 1 April 2005