Intersection R-Torsion and Analytic Torsion for Pseudomanifolds.
Aparna Dar (1987)
Mathematische Zeitschrift
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Displaying similar documents to “Analytic and Reidemeister Torsion for Representation in Finite Type Hilbert Modules.”
Intersection R-Torsion and Analytic Torsion for Pseudomanifolds.
Reidemeister Torsion and Analytic Torsion of Discs
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...
Localization and colocalization in tilting torsion theory for coalgebras
Yuan Li, Hailou Yao (2021)
Czechoslovak Mathematical Journal
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Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.
Characterization of the torsion of the Jacobian of y² = x⁵+Ax and some applications
Tomasz Jędrzejak, Maciej Ulas (2010)
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Abelian groups in a topos of sheaves: Torsion and essential extensions.
Bhutani, Kiran R. (1989)
International Journal of Mathematics and Mathematical Sciences
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Hereditary torsion classes of S-systems.
K.P. Shum, R.Z. Zhang (1996)
Semigroup forum
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Universal exact sequences for torsion theories
Kerner Otto (1990)
Banach Center Publications
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Large indecomposable modules in torsion theories.
L. Fuchs (1987)
Aequationes mathematicae
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Intersection Whitehead Torsion and the s-Cobordism Theorem for Pseudomanifolds.
Aparna Dar (1988)
Mathematische Zeitschrift
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Torsion modules behaving like torsion Abelian groups
M. Zubair Khan (1980)
Matematički Vesnik
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Rings admitting torsion injective covers
Ahsan, J., Enochs, E. (1981)
Portugaliae mathematica
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Abelian analytic torsion and symplectic volume
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.