English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Preprint

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

MPS-Authors
/persons/resource/persons294301

Hilman,  Kaif       
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons298627

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

/persons/resource/persons298629

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

External Resource

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

Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2409.02220.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

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


Cite as: https://hdl.handle.net/21.11116/0000-000F-D014-F
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.