CONTENTS
IX
4 Reidemeister and Nielsen zeta functions modulo normal sub-
group, minimal dynamical zeta functions 88
4.1 Reidemeister and Nielsen zeta functions modulo a normal sub-
group 88
4.1.1 Radius of Convergence of the mod K Nielsen zeta func-
tion 89
4.1.2 mod K Nielsen zeta function of a periodic map 90
4.2 Minimal dynamical zeta function 92
4.2.1 Radius of Convergence of the minimal zeta function . . 92
5 Congruences for Reidemeister and Nielsen numbers 94
5.1 Irreducible Representation and the Unitary Dual of G 94
5.2 Endomorphism of the Direct Sum of a Free Abelian and a
Finite Group 95
5.3 Endomorphism of almost Abelian
groups 97
5.3.1 Compact Groups 98
5.3.2 Almost Abelian groups 99
5.4 Endomorphisms of nilpotent groups 101
5.5 Main Theorem 102
5.6 Congruences for Reidemeister numbers of a continuous map . 104
5.7 Congruences for Reidemeister numbers of equivariant group
endomorphisms 105
5.8 Congruences for Reidemeister numbers of equivariant maps . . 109
5.9 Congruences for Nielsen numbers of a continuous map 110
5.10 Some conjectures for wider classes of
groups 112
6 The Reidemeister torsion 113
6.1 Preliminaries 113
6.2 The Reidemeister zeta Function and the Reidemeister Torsion
of the Mapping Torus of the dual map 117
6.3 The connection between the Reidemeister torsion, eta-invariant,
the Rochlin invariant and theta multipliers via the dynamical
zeta functions 119
6.3.1 Rochlin invariant 119
6.3.2 The Bismut-Freed-Witten Holonomy Theorem 120
Previous Page Next Page