24 citations · 104 across the 21 of their papers we have counts for
8 papers · 1 filter
On the anomaly terms in Cheeger-Müller theorem on spaces with conical singularities
Luiz Hartmann, Mauro Spreafico
We prove that the anomaly term appearing in the ratio between Reidemeister torsion and analytic torsion for a space with a conical singularity vanishes in the smooth case. Moreover…
The analytic torsion of the finite metric cone over a compact manifold
L. Hartmann, M. Spreafico
We give an explicit formula for the analytic torsion of the finite metric cone over an oriented compact connected Riemannian manifold. We provide an interpretation of the dif…
R torsion and analytic torsion for a conical frustum
Luiz Hartmann, Mauro Spreafico
We investigate the limit the R torsion of a conical frustum as one of the basis is shrunk to a point. We show that, if we take suitable regularization, such a limit gives the inter…
An extension of the Cheeger-Müller theorem for a cone
Luiz Hartmann, Mauro Spreafico
We prove the equality of the -analytic torsion and the intersection R torsion of the even dimensional finite metric cone over an odd dimensional compact manifold.
The Analytic Torsion of the cone over an odd dimensional manifold
L. Hartmann, M. Spreafico
We study the analytic torsion of the cone over an orientable odd dimensional compact connected Riemannian manifold W. We prove that the logarithm of the analytic torsion of the con…
The analytic torsion of a cone over a sphere
L. Hartmann, M. Spreafico
We compute the analytic torsion of a cone over a sphere of dimension 1, 2, and 3, and we conjecture a general formula for the cone over an odd dimensional sphere.
Reidemeister torsion and analytic torsion of discs
L. Hartmann, T. de Melo, M. Spreafico
We study the Reidemeister torsion and the analytic torsion of the dimensional disc in the Euclidean dimensional space, using the base for the homology defined by Ray and Si…
Zeta determinant for double sequences of spectral type
Mauro Spreafico
We study the spectral functions, and in particular the zeta function, associated to a class of sequences of complex numbers, called of spectral type. We investigate the decomposabi…