Spherical 3-manifolds bounding rational homology balls
Geometric Topology
2019-10-17 v3
Abstract
We give a complete classification of the spherical 3-manifolds that bound smooth rational homology 4-balls. Furthermore, we determine the order of spherical 3-manifolds in the rational homology cobordism group of rational homology 3-spheres. To this end, we use constraints for 3-manifolds to bound rational homology balls induced from Donaldson's diagonalization theorem and Heegaard Floer correction terms.
Keywords
Cite
@article{arxiv.1803.08749,
title = {Spherical 3-manifolds bounding rational homology balls},
author = {Dong Heon Choe and Kyungbae Park},
journal= {arXiv preprint arXiv:1803.08749},
year = {2019}
}
Comments
29 pages, 8 figures; revised and clarified the arguments in Section 6.3, to appear in Michigan Math. Journal