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Mathematische Zeitschrift

, Volume 273, Issue 3–4, pp 1085–1117 | Cite as

On the gluing formula for the analytic torsion

  • Jochen Brüning
  • Xiaonan Ma
Article

Abstract

In this paper, we derive the Cheeger–Müller/Bismut–Zhang theorem for manifolds with boundary and the gluing formula for the analytic torsion of flat vector bundles in full generality, i.e., we do not assume that the Hermitian metric on the flat vector bundle is flat nor that the Riemannian metric has product structure near the boundary.

Keywords

Vector Bundle Product Structure Canonical Isomorphism Morse Function Euler Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Institut für MathematikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.UFR de MathématiquesUniversité Paris Diderot-Paris 7Paris Cedex 13France

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