3 citations · 3 across the 2 of their papers we have counts for
6 papers
Twisted Burnside-Frobenius theory for discrete groups
Alexander Fel'shtyn, Evgenij Troitsky
For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the numbe…
Floer Homology, Nielsen Theory and Symplectic Zeta Functions
Alexander Fel'shtyn
We describe a connection between symplectic Floer homology for symplectomorphisms of surface and Nielsen fixed point theory. A new zeta functions and asymptotic invariant of symple…
Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite
Alexander Fel'shtyn
We show that the number of twisted conjugacy classes is infinite for any automorphism of non-elementary, Gromov hyperbolic group . An analog of Selberg theory for twisted conjugacy…
Nielsen zeta function, 3-manifolds and asymptotic expansions in Nielsen theory
Alexander Fel'shtyn
We prove that the Nielsen zeta function is a rational function or a radical of a rational function for orientation preserving homeomorphisms on closed orientable 3-dimensional mani…
Reidemeister torsion and Integrable Hamiltonian systems
Alexander Fel'shtyn, Hector Sánchez-Morgado
In this paper we compute the Reidemeister torsion of a isoenergetic surface for the integrable Hamiltonian system on the four-dimensional symplectic manifold. We use the spectral s…
Trace Formulae, Zeta Functions, Congruences and Reidemeister Torsion in Nielsen Theory
Alexander Fel'shtyn, Richard Hill
In this paper we prove trace formulae for the Reidemeister number of a group endomorphism. This result implies the rationality of the Reidemeister zeta function in the following ca…