A note on the complexity of h-cobordisms

Hannah R. Schwartz

doi:10.2140/agt.2020.20.3313

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arXiv · 1811.02753

A note on the complexity of h-cobordisms

Hannah R. Schwartz

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Abstract

We show that the number of double points of smoothly immersed 2-spheres representing certain homology classes of an oriented, smooth, closed, simply-connected 4-manifold X must increase with the complexity of corresponding h-cobordisms from X to X. As an application, we give results restricting the minimal number of double points of immersed spheres in manifolds homeomorphic to rational surfaces.

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Hannah R. Schwartz. 2018-11-07. A note on the complexity of h-cobordisms. https://doi.org/10.2140/agt.2020.20.3313

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