Endomorphisms of mapping tori

Christoforos Neofytidis

doi:10.1090/tran/9203

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arXiv · 2010.12490

Endomorphisms of mapping tori

Christoforos Neofytidis

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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.

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Christoforos Neofytidis. 2020-10-23. Endomorphisms of mapping tori. https://doi.org/10.1090/tran/9203

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