Twisting 4-manifolds along RP²

2009/12/23 by Selman Akbulut, Akbulut, Selman · 1 citation
Mathematics · #57R65 #58A05 #58D27 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0912.4727

openalex publication_date 2009/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Dolgachev surface E(1)_2,3 (which is an exotic copy of the elliptic surface E(1)=CP² # 9(-CP²)) can be obtained from E(1) by twisting along a simple "plug", in particular it can be obtained from E(1) by twisting along an RP².

Cited by

• The link surgery of S²× S² and Scharlemann's manifolds

Related

• Smooth structures on non-orientable 4-manifolds via twisting operations
• Irreducible 4-manifolds can admit exotic diffeomorphisms
• The Dolgachev Surface
• Internal and external stabilization of exotic surfaces in 4-manifolds
• Exotic Dehn twists on 4-manifolds