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- Title
On the gluing formula for the analytic torsion.
- Authors
Brüning, Jochen; Ma, Xiaonan
- 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.
- Subjects
MANIFOLDS (Mathematics); RIEMANNIAN manifolds; TORQUEMETERS; TORSION; MECHANICS (Physics)
- Publication
Mathematische Zeitschrift, 2013, Vol 273, Issue 3/4, p1085
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-012-1045-5