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Preprint

Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem

MPG-Autoren
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Hilman,  Kaif       
Max Planck Institute for Mathematics, Max Planck Society;

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Kirstein,  Dominik
Max Planck Institute for Mathematics, Max Planck Society;

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Kremer,  Christian
Max Planck Institute for Mathematics, Max Planck Society;

Externe Ressourcen

https://doi.org/10.48550/arXiv.2409.02220
(Preprint)

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2409.02220.pdf
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Zitation

Hilman, K., Kirstein, D., & Kremer, C. (submitted). Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem.


Zitierlink: https://hdl.handle.net/21.11116/0000-000F-D014-F
Zusammenfassung
In this companion article to [HKK24], we apply the theory of equivariant Poincaré duality developed there in the special case of cyclic groups Cp of prime order to remove, in a special case, a technical condition given by Davis--Lück [DL24] in their work on the Nielsen realisation problem for aspherical manifolds. Along the way, we will also give a complete characterisation of Cp--Poincaré spaces as well as introduce a genuine equivariant refinement of the classical notion of virtual Poincaré duality groups which might be of independent interest.