Annulus twist and diffeomorphic 4-manifolds

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.

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Bibliographic Details
Published in:arXiv.org 2013-01
Main Authors: Abe, Tetsuya, In Dae Jong, Omae, Yuka, Takeuchi, Masanori
Format: Article
Language:English
Subjects:
Knots
Manifolds
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422