English

(1,1) non-L-space knots are persistently foliar

Geometric Topology 2026-02-09 v2

Abstract

We prove that (1,1) non-L-space knots in S3S^3 and lens spaces are persistently foliar. This provides positive evidence for the L-space conjecture.

Keywords

Cite

@article{arxiv.2510.11533,
  title  = {(1,1) non-L-space knots are persistently foliar},
  author = {Qingfeng Lyu},
  journal= {arXiv preprint arXiv:2510.11533},
  year   = {2026}
}

Comments

56 pages, 48 figures in color