Embeddings of $4$--manifolds in $\CP^3$

Abstract

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

arXiv comment21 pages. Improved the exposition. Proof of embeddings in R^7 is added

References in corpus (4)

• Singular Lefschetz pencils
• Simplifying indefinite fibrations on 4-manifolds
• Simplified broken Lefschetz fibrations and trisections of 4-manifolds
• Embeddings of $3$--manifolds via open books

Cited by in corpus (2)

• Symplectic embeddings of 4-manifolds via Lefschetz fibrations
• A note on embedding of achiral Lefschetz fibrations