Computational aspects of the Lefschetz, Nielsen and Reidemeister numbers for multiple maps.

• Grant number: 18/03550-5
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2018
• End date: May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Thaís Fernanda Mendes Monis
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

In previous work, Biasi-Libardi-Monis, Monis-Spiez and Monis-Wong have stablished Lefschetz type theorems in the setting of multiple maps. Also, by applying techniques of obstruction theory, Monis-Wong have obtained a converse of the Lefschetz coincidence theorem for multiple maps. At the same time, Nielsen and Reidemeister numbers for multiple maps were introduced by Staecker. In this research project, we are interested in the computational aspects of the Nielsen number for multiple maps. In particular, in its relationship with the classical invariants related to pairs of maps. (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)

GONCALVES, DACIBERG L.; MONIS, THAIS F. M.; SPIEZ, STANISLAW. DEFICIENT AND MULTIPLE POINTS OF MAPS INTO A MANIFOLD. HOUSTON JOURNAL OF MATHEMATICS, v. 46, n. 4, p. 20-pg., 2020-01-01. (16/24707-4, 18/03550-5, 13/07936-1)

MENDES MONIS, THAIS FERNANDA; WONG, PETER. COMPUTATION OF NIELSEN AND REIDEMEISTER COINCIDENCE NUMBERS FOR MULTIPLE MAPS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 56, n. 2, p. 483-499, DEC 2020. (18/03550-5)