L. Hartmann, M. Spreafico, “On the Cheeger–Müller theorem for an even-dimensional cone”, Algebra i Analiz, 2015, Volume 27, Issue 1,Pages <nobr>194

This article is cited in 5 papers

Research Papers

On the Cheeger–Müller theorem for an even-dimensional cone

L. Hartmann^a, M. Spreafico^b

^a UFSCar, Universidade Federal de São Carlos, São Carlos, Brazil
^b Università del Salento, Lecce, Italy

Abstract: Equality is proved for the $L^2$-analytic torsion and the intersection R-torsion of the even-dimensional finite metric cone over an odd-dimensional compact manifold.

Keywords: analytic torsion, pseudomanifold, De Rham metric, Reidemeister basis, fundamental group, Hodge operator, zeta function, singular locus.

Received: 18.01.2013

Language: English