2023/11/28 by Roberto Ladu, Ladu, Roberto
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #57R55 #57R80 #FOS: Mathematics #Forensic Toxicology and Drug Analysis #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2311.17028
openalex publication_date 2023/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We exhibit infinitely many exotic pairs of simply-connected, closed 4-manifolds not related by any cork of the infinite family Wn constructed by Akbulut and Yasui whose first member is the Akbulut cork. In particular, the Akbulut cork is not universal. Moreover we show that, in the setting of manifolds with boundary, there are no ∂-universal corks, i.e. there does not exist a cork which relates any exotic pair of simply-connected 4-manifolds with boundary.