Homotopy groups of highly connected Poincare duality complexes
Algebraic Topology
2022-03-01 v2
Abstract
Methods are developed to relate the action of a principal fibration to relative Whitehead products in order to determine the homotopy type of certain spaces. The methods are applied to thoroughly analyze the homotopy type of the based loops on certain cell attachments. Key examples are (n-1)-connected Poincare Duality complexes of dimension 2n or 2n+1 with minor cohomological conditions.
Keywords
Cite
@article{arxiv.1812.05344,
title = {Homotopy groups of highly connected Poincare duality complexes},
author = {Piotr Beben and Stephen Theriault},
journal= {arXiv preprint arXiv:1812.05344},
year = {2022}
}
Comments
26 pages. To appear in Doc. Math