Endomorphisms of mapping tori
Geometric Topology
2025-08-15 v2 Algebraic Topology
Differential Geometry
Group Theory
Abstract
We classify in terms of Hopf-type properties mapping tori of residually finite Poincar\'e Duality groups with non-zero Euler characteristic. This generalises and gives a new proof of the analogous classification for fibered 3-manifolds. Various applications are given. In particular, we deduce that rigidity results for Gromov hyperbolic groups hold for the above mapping tori with trivial center.
Cite
@article{arxiv.2010.12490,
title = {Endomorphisms of mapping tori},
author = {Christoforos Neofytidis},
journal= {arXiv preprint arXiv:2010.12490},
year = {2025}
}
Comments
36 pages; v2: final version, to appear in Transactions of the American Mathematical Society