Analytic torsion and its geometric interpretation in natural spaces

• Grant number: 13/04396-6
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2013
• End date: April 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Luiz Roberto Hartmann Junior
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

We propose the study of the geometric elements involved in the Analytic Torsion of singular spaces with the purpose to extend the Cheeger-Müller theorem. This project is a continuation of the Auxílio Regular 2010/16660-1. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

HARTMANN, L.; SPREAFICO, M.. ON THE CHEEGER-MULLER THEOREM FOR AN EVEN-DIMENSIONAL CONE. ST PETERSBURG MATHEMATICAL JOURNAL, v. 27, n. 1, p. 137-154, FEB 2016. (13/04396-6)

HARTMANN, LUIZ; SPREAFICO, MAURO. The analytic torsion of the finite metric cone over a compact manifold. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v. 69, n. 1, p. 311-371, JAN 2017. (13/04396-6)