Ribbon homology cobordisms
Geometric Topology
2022-07-06 v5
Abstract
We study 4-dimensional homology cobordisms without 3-handles, showing that they interact nicely with Thurston geometries, character varieties, and instanton and Heegaard Floer homologies. Using these, we derive obstructions to such cobordisms. As one example of these obstructions, we generalize other recent results on the behavior of knot Floer homology under ribbon concordances. Finally, we provide topological applications, including to Dehn surgery problems.
Keywords
Cite
@article{arxiv.1904.09721,
title = {Ribbon homology cobordisms},
author = {Aliakbar Daemi and Tye Lidman and David Shea Vela-Vick and C. -M. Michael Wong},
journal= {arXiv preprint arXiv:1904.09721},
year = {2022}
}
Comments
53 pages, 6 figures. Accepted for publication in Adv. Math. Improvements thanks to referee. Statement of Lemma 3.2 corrected to require Y_- to be a Q-homology sphere