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Realisation and Splitting for Poincaré Duality Pairs in Dimension Three

2022/07/28 by Beatrice Bleile, Bleile, Beatrice
Mathematics · Physics and Astronomy · #57P10 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2207.14054

openalex publication_date 2022/07/28 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

Abstract

In earlier work we presented necessary conditions for a fundamental triple to be that of a 3-dimensional Poincaré duality pair with aspherical boundary components. We provide a construction which shows that the necessary conditions are sufficient.

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