English

Topologically slice $(1,1)$-knots which are not smoothly slice

Geometric Topology 2019-01-24 v1

Abstract

We prove that there are infinitely many (1,1)(1,1)-knots which are topologically slice, but not smoothly slice, which was a conjecture proposed by B\'ela Andr\'as R\'acz.

Keywords

Cite

@article{arxiv.1901.07774,
  title  = {Topologically slice $(1,1)$-knots which are not smoothly slice},
  author = {Zipei Nie},
  journal= {arXiv preprint arXiv:1901.07774},
  year   = {2019}
}

Comments

11 pages, 12 figures

R2 v1 2026-06-23T07:19:29.574Z