Endomorphisms of mapping tori

Neofytidis, Christoforos

doi:10.1090/tran/9203

Endomorphisms of mapping tori
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by Christoforos Neofytidis;

Trans. Amer. Math. Soc. 377 (2024), 5289-5321

DOI: https://doi.org/10.1090/tran/9203

Published electronically: June 18, 2024

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Abstract:

We classify in terms of Hopf-type properties mapping tori of residually finite Poincaré 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.

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