Annulus twist and diffeomorphic 4-manifolds
Geometric Topology
2013-01-23 v2
Abstract
We give a method for obtaining infinitely many framed knots which represent a diffeomorphic 4-manifold. We also study a relationship between the -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.
Cite
@article{arxiv.1209.0361,
title = {Annulus twist and diffeomorphic 4-manifolds},
author = {Tetsuya Abe and In Dae Jong and Yuka Omae and Masanori Takeuchi},
journal= {arXiv preprint arXiv:1209.0361},
year = {2013}
}
Comments
19 pages, 17 figures