2014/08/14 by Selman Akbulut, Akbulut, Selman · 1 citation
Mathematics · #57R65 #58A05 #58D27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57R65 #msc:58A05 #msc:58D27
paper · pdf · doi:10.48550/arxiv.1408.3200
4 pages, 7 figures The claimed proof is defective (the inequality used is not strong enough)
openalex publication_date 2014/08/14 · arxiv created 2014/10/06 · arxiv updated 2014/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct an infinite order cork (W,f), which means that W is a smooth compact contractible 4-manifold with Stein structure, and f is a self diffeomorphism of the boundary of W, such that the n-fold composition maps fn=f o f o... o f give rise to smoothly distinct corks (W, fn) for sufficiently large values of n, as it approaches to infinity.