English

Knots, Links, and 4-Manifolds

dg-ga 2008-02-03 v2 Differential Geometry Geometric Topology

Abstract

In this paper we investigate the relationship between isotopy classes of knots and links in S^3 and the diffeomorphism types of homeomorphic smooth 4-manifolds. As a corollary of this initial investigation, we begin to uncover the surprisingly rich structure of diffeomorphism types of manifolds homeomorphic to the K3 surface.

Keywords

Cite

@article{arxiv.dg-ga/9612014,
  title  = {Knots, Links, and 4-Manifolds},
  author = {Ronald Fintushel and Ronald J. Stern},
  journal= {arXiv preprint arXiv:dg-ga/9612014},
  year   = {2008}
}

Comments

31 pages

R2 v1 2026-07-22T12:29:57.162Z