Poincar´e duality 4-complexes

Beatrice Bleile; Diarmuid Crowley; Daniel Galvin; Jayden Hammet; Naageswaran Manikandan; Mark Pencovitch; Arunima Ray

doi:10.4171/OWR/2024/43

Poincar´e duality 4-complexes

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

Mathematics

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	2525-2527
Journal	Oberwolfach Reports
Volume	21
Issue number	3
DOIs	https://doi.org/10.4171/OWR/2024/43
Publication status	Published - 14 Feb 2025

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10.4171/OWR/2024/43

https://hdl.handle.net/1959.11/71378

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title = "Poincar´e duality 4-complexes",

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. ",

author = "Beatrice Bleile and Diarmuid Crowley and Daniel Galvin and Jayden Hammet and Naageswaran Manikandan and Mark Pencovitch and Arunima Ray",

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AU - Bleile, Beatrice

AU - Crowley, Diarmuid

AU - Galvin, Daniel

AU - Hammet, Jayden

AU - Manikandan, Naageswaran

AU - Pencovitch, Mark

AU - Ray, Arunima

PY - 2025/2/14

Y1 - 2025/2/14

N2 - 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.

AB - 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.

U2 - 10.4171/OWR/2024/43

DO - 10.4171/OWR/2024/43

M3 - Article

SN - 1660-8933

VL - 21

SP - 2525

EP - 2527

JO - Oberwolfach Reports

JF - Oberwolfach Reports

IS - 3

ER -

Poincar´e duality 4-complexes

Abstract

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