Horizontal decompositions, I
Year: 2024
Type: article
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.
Source: Algebraic & Geometric Topology
Authors: Paolo Lisca, Andrea Parma
Institution: University of Pisa
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403488445