Bounding the Dehn surgery number by 10/8
Abstract
We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space $L(2k,1)$ 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.
Fields of Study & Subjects
Cleft Lip and Palate Research
Head and Neck Surgical Oncology
Publication details
- Journal / source
- Communications in Analysis and Geometry
- Publisher
- International Press of Boston
- Volume
- 34
- Issue
- 3
- Pages
- 695–705
- Publication date
- 1 January 2026
- Language
- EN