Topological triviality of smoothly knotted surfaces in 4-manifolds

Kim, Hee Jung; Ruberman, Daniel

doi:10.1090/S0002-9947-08-04482-6

Topological triviality of smoothly knotted surfaces in $4$-manifolds
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by Hee Jung Kim and Daniel Ruberman PDF

Trans. Amer. Math. Soc. 360 (2008), 5869-5881 Request permission

Abstract:

Some generalizations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements are standard, then these surfaces are topologically unknotted.

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