Horizontal decompositions, I

Paolo Lisca; Andrea Parma

doi:10.2140/agt.2024.24.3503

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arXiv · 2205.00482

Horizontal decompositions, I

Paolo Lisca·Andrea Parma

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Abstract

We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositions of CP^2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane.

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Paolo Lisca, Andrea Parma. 2022-05-01. Horizontal decompositions, I. https://doi.org/10.2140/agt.2024.24.3503

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