Bounding the Dehn surgery number by 10/8

Abstract: Every closed, oriented 3-manifold is obtained by a Dehn surgery on a link in the three-sphere. It is natural to ask about the minimal number of components of a link that admits a Dehn surgery to a given 3-manifold. In this talk, we use Furuta's 10/8-theorem to provide new examples of 3-manifolds with the same integral homology as the lens space L(2k, 1), while not surgery on any knot in the three-sphere.

algebraic topologygeometric topologysymplectic geometry

Audience: researchers in the topic

[K-OS] Knot online seminar

Series comments: Description: Seminar on knot theory and low dimensional topology

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