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Journal Article

A note on the complexity of h-cobordisms

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Schwartz,  Hannah R.
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/agt.2020.20.3313
(Publisher version)

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Citation

Schwartz, H. R. (2020). A note on the complexity of h-cobordisms. Algebraic & Geometric Topology, 20(7), 3313-3327. doi:10.2140/agt.2020.20.3313.


Cite as: https://hdl.handle.net/21.11116/0000-0007-A392-B
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.