5 problems

A homeomorphism $f$ of a Haken or Seifert manifold has Nielsen zeta function … where $N(f^n)$ is the Nielsen number of the $n$-th iterate. Turaev's Nielsen zeta-function conjecture…

Let $M$ be a closed smooth manifold, let $f:M\to M$ be a self-map, and let $\ell_n(f)$ lie in the direct sum $\bigoplus_{k\mid n}\mathbb{Z}[\pi_1(M)_{\rho,k}]$, where…

Let $G$ act on a closed smooth manifold $M$, let $f:M\to M$ be a $G$-equivariant map, and let $\ell_G(f)$ be the Klein–Williams invariant. For each conjugacy class of subgroups $H$…

Let $M$ be a connected closed manifold, let $f\colon M\to M$ be a self-map, and let $n\geq 2$. For the homotopy $n$-periodic point space, let $\ell_n^k(f)$ denote the relevant comp…

Let $M$ be a closed manifold, let $f\colon M\to M$ be a self-map, and let $n\geq 2$. Let $\ell_n(f)\in\Omega_0^{\mathbb Z_n,\operatorname{fr}}(\operatorname{ho}P_n(f))$ be the homo…