Classification of torus bundles that bound rational homology circles
Geometric Topology
2023-09-13 v2
Abstract
In this article, we completely classify torus bundles over the circle that bound 4-manifolds with the rational homology of the circle. Along the way, we classify certain integral surgeries along chain links that bound rational homology balls and explore a connection to 3-braid closures whose double branched covers bound rational homology 4-balls.
Keywords
Cite
@article{arxiv.2006.14986,
title = {Classification of torus bundles that bound rational homology circles},
author = {Jonathan Simone},
journal= {arXiv preprint arXiv:2006.14986},
year = {2023}
}
Comments
Final version. Reworked many lattice analysis arguments to improve the flow of the paper. Added two cases that were missing from version 1. To appear in Algebraic & Geometric Topology