Knots, Links, and 4-Manifolds

Details Knots, Links, and 4-Manifolds Knots, Links, and 4-Manifolds

1996-12-18

arxiv.org/abs/dg-ga/9612014v2

Mathematics

Differential Geometry

31 pages

Scientific paper

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.

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