Annulus twist and diffeomorphic 4-manifolds II

2014/08/01 by Tetsuya Abe, Abe, Tetsuya, In Dae Jong +1 · 3 citations
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1408.0092

Abstract

We solve a strong version of Problem 3.6 (D) in Kirby's list, that is, we show that for any integer n, there exist infinitely many mutually distinct knots such that 2-handle additions along them with framing n yield the same 4-manifold.

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