New directions in Nielsen-Reidemeister theory
Alexander Fel'shtyn
TL;DR
This paper explores innovative directions in Nielsen-Reidemeister fixed point theory, including twisted Burnside-Frobenius theorem, groups with R_infinity property, and links to symplectic Floer homology, expanding the theoretical framework.
Contribution
It introduces new theoretical concepts and connections in Nielsen-Reidemeister theory, broadening understanding and potential applications in topology and related fields.
Findings
Description of twisted Burnside-Frobenius theorem
Identification of groups with R_infinity property
Connection between Nielsen theory and symplectic Floer homology
Abstract
The purpose of this expository paper is to present new directions in the classical Nielsen-Reidemeister fixed point theory. We describe twisted Burnside-Frobenius theorem, groups with \emph{property} and a connection between Nielsen fixed point theory and symplectic Floer homology.
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