Realisation and Splitting for Poincar\'e Duality Pairs in Dimension Three
Algebraic Topology
2022-09-07 v2
Abstract
In earlier work we presented necessary conditions for a fundamental triple to be that of a 3-dimensional Poincar\'e duality pair with aspherical boundary components. We provide a construction which shows that the necessary conditions are sufficient.
Cite
@article{arxiv.2207.14054,
title = {Realisation and Splitting for Poincar\'e Duality Pairs in Dimension Three},
author = {Beatrice Bleile},
journal= {arXiv preprint arXiv:2207.14054},
year = {2022}
}
Comments
The construction for the main result doesn't work - there is a counter-example