Intersection R-Torsion and Analytic Torsion for Pseudomanifolds.
Aparna Dar (1987)
Mathematische Zeitschrift
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Aparna Dar (1987)
Mathematische Zeitschrift
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T. de Melo, L. Hartmann, M. Spreafico (2009)
Bollettino dell'Unione Matematica Italiana
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We study the Reidemeister torsion and the analytic torsion of the m-dimensional disc in the Euclidean m-dimensional space, using the base for the homology defined by Ray and Singer in [10]. We prove that the Reidemeister torsion coincides with the square root of the volume of the disc. We study the additional terms arising in the analytic torsion due to the boundary, using generalizations of the Cheeger-Müller theorem. We use a formula proved by Brüning and Ma [1], that predicts a new...
Daniel S. Freed (1992)
Journal für die reine und angewandte Mathematik
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D. Burghelea, L. Friedlander (1996)
Geometric and functional analysis
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B.D.K. McLellan (2015)
Archivum Mathematicum
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This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.
Xiaonan Ma (2000-2001)
Séminaire de théorie spectrale et géométrie
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Tomasz Jędrzejak, Maciej Ulas (2010)
Acta Arithmetica
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Jean-Michel Bismut, Alain Berthomieu (1994)
Journal für die reine und angewandte Mathematik
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Wen-Hsiung Lin (1994)
Forum mathematicum
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Bhutani, Kiran R. (1989)
International Journal of Mathematics and Mathematical Sciences
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Maxim Braverman, Thomas Kappeler (2007)
Annales de l’institut Fourier
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The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form on the determinant line of the cohomology. Both and the Burghelea-Haller torsion are refinements of the Ray-Singer torsion. We show that whenever the Burghelea-Haller torsion is defined it is equal to . As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture...