Surface slices and homology spheres

2022/02/06 by Clayton McDonald, McDonald, Clayton
Mathematics · #math.GT

paper · pdf · doi:10.48550/arxiv.2202.02696

Abstract

We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but not in a homotopy 4-sphere. Our primary obstruction comes from work of Taubes.

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