English

Gluck twist on a certain family of 2-knots

Geometric Topology 2011-03-30 v1 Algebraic Topology

Abstract

We show that by performing the Gluck twist along the 2-knot Kpq2K^2_{pq} derived from two ribbon presentations of the ribbon 1-knot K(p,q)K(p,q) we get the standard 4-sphere S4S^4. In the proof we apply Kirby calculus.

Keywords

Cite

@article{arxiv.1103.5571,
  title  = {Gluck twist on a certain family of 2-knots},
  author = {Daniel Nash and András I. Stipsicz},
  journal= {arXiv preprint arXiv:1103.5571},
  year   = {2011}
}

Comments

11 pages, 12 figures