Embeddings of 4--manifolds in \CP³

2020/02/26 by Abhijeet Ghanwat, Ghanwat, Abhijeet, Dishant M. Pancholi +1 · 1 citation
Mathematics · #57R40 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2002.11299

openalex publication_date 2020/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we show that every closed orientable smooth 4--manifold admits a smooth embedding in the complex projective 3--space.

Citations

• Die Gruppe der Abbildungsklassen: Das arithmetische Feld auf Flächen
• A finite set of generators for the homeotopy group of a 2-manifold
• Simplifying indefinite fibrations on 4-manifolds
• Embeddings of 3--manifolds via open books

Cited by

• A note on embedding of achiral Lefschetz fibrations

Related

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• Locally flat embeddings of 3-manifolds in S⁴
• New perspectives on a classical embedding theorem
• Smoothing 3-manifolds in 5-manifolds
• Constructions of Smooth 4-Manifolds