Comparison techniques on inert top cell attachments
arXiv:2408.10716
Abstract
We establish various criteria for the inertness of the top cell attachments of Poincaré duality complexes through nonzero degree maps, algebraic intersection theory and various types of homotopy fibrations. Many examples are provided, including specific surgery, homogeneous spaces and low dimensional manifolds. Additionally, we propose eight open problems.
110 pages; comments are very welcome