# nLab Nielsen invariant

Nielsen invariant is introduced in

• J. Nielsen, Über die Minimalzahl der Fixpunkte bei den Abbildungstypen der Ringflächen, die Minimalzahl der Fixpunkte bei den Abbildungstypen der Ringflächen, Math. Ann. 82(1-2):83–93, 1920.

Nielsen invariant and Reidemeister torsion are rather related. There are many article now on this relation, see

• Alexander Fel’shtyn, New directions in Nielsen-Reidemeister theory, arxiv/0712.2601; Nielsen theory, Floer homology and a generalisation of the Poincare-Birkhoff theorem, arxiv/0807.0045; The growth rate of Floer homology and symplectic zeta function, arxiv/1101.4495

There are also some precursors like dilogarithm functions from the end of 19th century, closely related to the subject.

Created on February 22, 2013 at 20:05:56. See the history of this page for a list of all contributions to it.