Displaying similar documents to “Reidemeister Torsion and Analytic Torsion of Discs”

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.

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.