Reidemeister torsion and analytic torsion of spaces with conical singularities

• Grant number: 09/15145-9
• Support Opportunities: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): March 01, 2010
• Effective date (End): June 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Mauro Spreafico
• Grantee: Luiz Roberto Hartmann Junior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We study the analytic torsion of a cone over a compact connected Riemannian manifold. In particular, our aim is to prove some extension of the Cheeger-Müller theorem.

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.. The analytic torsion of a cone over an odd dimensional manifold. JOURNAL OF GEOMETRY AND PHYSICS, v. 61, n. 3, p. 624-657, MAR 2011. (09/15145-9)