Poincar´e duality 4-complexes

Our group considered problems concerning 4-dimensional Poincar´e duality complexes, i.e. 4-dimensional CW-complexes which are equipped with a top-dimensional homology class which induces Poincar´e duality isomorphisms via the cap product.

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Publication Details

Journal
RUNE (Research UNE)
Published
2025-02-14
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
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article

Poincar´e duality 4-complexes

Diarmuid Crowley, Beatrice Bleile, Arunima Ray, Naageswaran Manikandan et al.
RUNE (Research UNE)
Homotopy and Cohomology in Algebraic Topology
article

Poincar´e duality 4-complexes

Diarmuid Crowley, Beatrice Bleile, Arunima Ray, Naageswaran Manikandan, Daniel Galvin, Mark Pencovitch, Jayden Hammet
article en

Abstract

Our group considered problems concerning 4-dimensional Poincar´e duality complexes, i.e. 4-dimensional CW-complexes which are equipped with a top-dimensional homology class which induces Poincar´e duality isomorphisms via the cap product.

RUNE (Research UNE)
University of Bonn (DE)
Openalex Percentile: Top 16%
Homotopy and Cohomology in Algebraic Topology
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Poincar´e duality 4-complexes — Diarmuid Crowley, Beatrice Bleile, et al. · RUNE (Research UNE) (2025) | TGRS Research Map | TGRS