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

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-D014-F Version Permalink: https://hdl.handle.net/21.11116/0000-000F-D015-E
Genre: Preprint
Latex : Equivariant Poincar\'e duality for cyclic groups of prime order and the Nielsen realisation problem

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2409.02220.pdf (Preprint), 2MB
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 Creators:
Hilman, Kaif1, Author                 
Kirstein, Dominik1, Author           
Kremer, Christian1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology, Geometric Topology
 Abstract: 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.

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Language(s): eng - English
 Dates: 2024-09-03
 Publication Status: Submitted
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 Rev. Type: No review
 Identifiers: arXiv: 2409.02220
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