Annulus twist and diffeomorphic 4-manifolds

作者：Abe Tetsuya^*; Jong In Dae; Omae Yuka; Takeuchi Masanori

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2013, 155(2): 219-235.

DOI：10.1017/S0305004113000194

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.

• 出版日期2013-9