Zobrazeno 1 - 10
of 69
pro vyhledávání: '"SPREAFICO, Mauro"'
Autor:
Spreafico, Mauro
We study the global analytic properties of a space $X$ with a horn type singularity. In particular, we introduce some de Rham complex of square integrable forms and we describe its homology and the spectral properties of the associated Hodge Laplace
Externí odkaz:
http://arxiv.org/abs/2305.05449
Autor:
Hartmann, Luiz, Spreafico, Mauro
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, we show that such anomaly term is non trivial for the cone over a to
Externí odkaz:
http://arxiv.org/abs/2209.06663
We construct an explicit equivariant cellular decomposition of the $(4n-1)$-sphere with respect to binary polyhedral groups, and describe the associated cellular homology chain complex. As a corollary of the binary octahedral case, we deduce an $\mat
Externí odkaz:
http://arxiv.org/abs/2006.14417
Autor:
Hartmann, Luiz, Spreafico, Mauro
We prove an extension of the Cheeger-M\"{u}ller theorem to spaces with isolated conical singularities: the $L^2$-analytic torsion coincides with the Ray-Singer intersection torsion on an even dimensional space, and they are trivial, while the ratio i
Externí odkaz:
http://arxiv.org/abs/2001.07801
Autor:
Chirivi', Rocco, Spreafico, Mauro
The orbit polytope for a finite group G acting linearly and freely on a sphere S is used to construct a cellularized fundamental domain for the action. A resolution of the integers over G results from the associated G-equivariant cellularization of S
Externí odkaz:
http://arxiv.org/abs/1709.03335
The relative partition function and the relative zeta function of the perturbation of the Laplace operator by a Coulomb potential plus a point interaction centered in the origin is discussed. Applications to the study of the Casimir effect are indica
Externí odkaz:
http://arxiv.org/abs/1510.04976
Autor:
Hartmann, Luiz, Spreafico, Mauro
Publikováno v:
J. G\"okova Geom. Topol. - ISSN 1935-2565, 6, 28-57, 2012
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 intersection torsion of the resulting cone.
Externí odkaz:
http://arxiv.org/abs/1103.2623
Autor:
Hartmann, Luiz, Spreafico, Mauro
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.
Comment: to appear in St. Petersburg Math. Journal
Comment: to appear in St. Petersburg Math. Journal
Externí odkaz:
http://arxiv.org/abs/1008.2987
Autor:
Spreafico, Mauro, Zerbini, Sergio
Publikováno v:
Rep. Math. Phys. 2009
We use relative zeta functions technique of W. Muller \cite{Mul} to extend the classical decomposition of the zeta regularized partition function of a finite temperature quantum field theory on a ultrastatic space-time with compact spatial section to
Externí odkaz:
http://arxiv.org/abs/0708.4109
Autor:
Spreafico, Mauro
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 decomposability of the zeta function associated to a double sequence with respect
Externí odkaz:
http://arxiv.org/abs/math/0607816