Knots, Links, and 4-Manifolds
Ronald J. Stern and Ronald Fintushel
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.