Spectral geometry of pseudomanifolds

• Grant number: 16/16949-8
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2016
• End date: September 30, 2018
• 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 spectral geometry and geometric/analytic elements involved in Analytic Torsion of smooth spaces and singular space with the aim to obtain a description geometric/topologic of this invariant. (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.. Zeta determinant of the Laplacian on the real projective spaces. INTERNATIONAL JOURNAL OF NUMBER THEORY, v. 15, n. 2, p. 373-388, MAR 2019. (16/16949-8)

DE OLIVEIRA, CESAR R.; HARTMANN, LUIZ; VERRI, ALESSANDRA A.. Effective Hamiltonians in surfaces of thin quantum waveguides. Journal of Mathematical Physics, v. 60, n. 2, FEB 2019. (16/16949-8)

HARTMANN, LUIZ; SPREAFICO, MAURO. Analytic torsion of half spheres. INTERNATIONAL JOURNAL OF MATHEMATICS, v. 28, n. 10, SEP 2017. (16/16949-8)