New directions in Nielsen-Reidemeister theory

2007/12/17 by Alexander Fel'shtyn, Fel'shtyn, Alexander · 2 citations
Mathematics · #20E45 #37C30 #53D40 #55M20 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Representation Theory (math.RT) #Symplectic Geometry (math.SG) #math.AT #math.GR #math.GT #math.RT #math.SG #msc:20E45 #msc:37C30 #msc:53D40 #msc:55M20

paper · pdf · doi:10.48550/arxiv.0712.2601

50 pages, survey

arxiv created 2008/02/01 · arxiv updated 2011/01/28

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 R_∞ property and a connection between Nielsen fixed point theory and symplectic Floer homology.

Cited by

• Twisted conjugacy classes in Lie groups
• Geometry of Reidemeister classes and twisted Burnside theorem

Related

• Twisted Burnside-Frobenius theory for discrete groups
• Floer Homology, Nielsen Theory and Symplectic Zeta Functions
• Nielsen theory, Floer homology and a generalisation of the Poincare-Birkhoff theorem
• Dynamical Zeta Functions, Nielsen theory and Reidemeister torsion
• Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem