Burghelea-Haller analytic torsion for manifolds with boundary

Burghelea-Haller analytic torsion for manifolds with boundary

In this paper, we extend the complex-valued Ray-Singer torsion, introduced by Burghelea-Haller, to compact connected Riemannian manifolds with boundary. We also compare it with the refined analytic torsion.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2009-12, Vol.137 (12), p.4295-4306
1. Verfasser: Su, Guangxiang
Format: Artikel
Sprache:eng
Schlagworte:
Absolute value
Adjoints
Exact sciences and technology
General mathematics
General, history and biography
Inner products
Laplacians
Mathematical theorems
Mathematical vectors
Mathematics
Research article
Riemann manifold
Sciences and techniques of general use
Spectral theory
Symmetry
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Beschreibung
Zusammenfassung:In this paper, we extend the complex-valued Ray-Singer torsion, introduced by Burghelea-Haller, to compact connected Riemannian manifolds with boundary. We also compare it with the refined analytic torsion.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-10003-5