Akbulut's corks and h-cobordisms of smooth simply connected 4-manifolds

1997/12/04 by Rob Kirby, Kirby, Rob · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT

paper · pdf · doi:10.48550/arxiv.math/9712231

11 pages

arxiv created 1997/12/04 · openalex publication_date 1997/12/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is primarily an exposition, combining work of several authors (Curtis, Hsiang, Freedman, Stong, Matveyev, and Bizaca), of the proof that a smooth 5-dimensional h-cobordism between simply connected 4-manifolds is a product off of a contractible piece which itself is diffeomorphic to the 5-ball.

Cited by

• Nonexistence of twists and surgeries generating exotic 4-manifolds
• A Fake CP² #4 CP²

Related

• Some remarks on h-cobordisms between smooth 4-manifolds
• A Decomposition of Smooth Simply-connected h-Cobordant 4-Manifolds
• Cores of s-cobordisms of 4-manifolds
• Higher order corks
• Stabilizations of s-cobordisms of dimension 5