Bounding the Dehn surgery number by 10/8
Geometric Topology
2024-05-28 v1
Abstract
We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space which are not surgery on any knot in the three-sphere. Our argument uses Furuta's 10/8-theorem, and is simple and combinatorial to apply.
Cite
@article{arxiv.2405.16904,
title = {Bounding the Dehn surgery number by 10/8},
author = {Beibei Liu and Lisa Piccirillo},
journal= {arXiv preprint arXiv:2405.16904},
year = {2024}
}
Comments
8 pages and comments are welcome!