English

Chainmail links, Dehn surgery number and $10/8$

Geometric Topology 2025-05-27 v1

Abstract

Liu and Piccirillo developed a combinatorial argument that employs the 10/8-theorem to demonstrate that certain manifolds cannot be obtained via Dehn surgery on a knot. We extend their approach by creating additional examples using chainmail links.

Keywords

Cite

@article{arxiv.2505.19884,
  title  = {Chainmail links, Dehn surgery number and $10/8$},
  author = {Soheil Azarpendar},
  journal= {arXiv preprint arXiv:2505.19884},
  year   = {2025}
}

Comments

13 pages, 8 figures, comments are welcome!