English

Knot surgery and Scharlemann manifolds

Geometric Topology 2015-03-17 v3 Symplectic Geometry

Abstract

We discuss the relation between Fintushel-Stern knot surgery operation on 4-manifolds and Scharlemann manifolds, and as a corollary show that they all are standard. Along the way we show that the fishtail can exotically knot in the 4-sphere infinitely many ways.

Keywords

Cite

@article{arxiv.1011.6274,
  title  = {Knot surgery and Scharlemann manifolds},
  author = {Selman Akbulut},
  journal= {arXiv preprint arXiv:1011.6274},
  year   = {2015}
}

Comments

8 pages, 9 figures, final version to appear in Forum Mathematicum

R2 v1 2026-06-21T16:50:25.624Z