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

Grant number: 18/03550-5
Support type:Regular Research Grants
Duration: June 01, 2018 - 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
Home 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)