Horizontal decompositions, I
Geometric Topology
2024-10-23 v3
Abstract
We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositions of CP^2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane.
Cite
@article{arxiv.2205.00482,
title = {Horizontal decompositions, I},
author = {Paolo Lisca and Andrea Parma},
journal= {arXiv preprint arXiv:2205.00482},
year = {2024}
}
Comments
21 pages, 7 figures, some changes, added Lemma 5.1 and alternative proof of Theorem 1.4 suggested by referee