Annulus twist and diffeomorphic 4-manifolds

2012/09/03 by Tetsuya Abe, In Dae Jong, Abe, Tetsuya +5
Mathematics · #57R65 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57R65

paper · pdf · doi:10.48550/arxiv.1209.0361

19 pages, 17 figures

openalex publication_date 2012/09/03 · arxiv created 2013/01/22 · arxiv updated 2013/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a method for obtaining infinitely many framed knots which represent a diffeomorphic 4-manifold. We also study a relationship between the n-shake genus and the 4-ball genus of a knot. Furthermore we give a construction of homotopy 4-spheres from a slice knot with unknotting number one.

Related

• Annulus twist and diffeomorphic 4-manifolds II
• A construction of slice knots via annulus modifications
• Corks, exotic 4-manifolds and knot concordance
• The non-simply connected Price twist for the 4-sphere
• Diffeomorphisms of 4-manifolds from graspers