On dissolving knot surgery 4-manifolds under a \mathbbCP²-connected sum

2017/04/07 by Choi, Hakho, Park, Jongil, Yun, Ki-Heon
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1704.02181

Abstract

In this article we prove that, if X is a smooth 4-manifold containing an embedded double node neighborhood, all knot surgery 4-manifolds X_K are mutually diffeomorphic to each other after a connected sum with \mathbbCP². Hence, by applying to the simply connected elliptic surface E(n), we also show that every knot surgery 4-manifold E(n)_K is almost completely decomposable.

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