An extension of the Cheeger-Müller theorem for a cone

Abstract

We prove the equality of the $L^2$-analytic torsion and the intersection R torsion of the even dimensional finite metric cone over an odd dimensional compact manifold.

to appear in St. Petersburg Math. Journal

References in corpus (2)

• The Analytic Torsion of the cone over an odd dimensional manifold
• Zeta determinant for double sequences of spectral type

Cited by in corpus (4)

• The boundary term from the Analytic Torsion of a cone over a $m$-dimensional sphere
• Cheeger-Mueller Theorem on manifolds with cusps
• The Metric Anomaly of Analytic Torsion at the Boundary of an Even Dimensional Cone
• R torsion and analytic torsion for a conical frustum