Surfaces in 4-Manifolds

1997/05/29 by Fintushel, Ronald, Stern, Ronald J. · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.dg-ga/9705009

Abstract

In this paper we introduce a technique, called rim surgery, which can change a smooth embedding of an orientable surface of positive genus and nonnegative self-intersection in a smooth 4-manifold while leaving the topological embedding unchanged.

Cited by

• Insensitivity of Khovanov homology under rim surgery
• Exotic knottings and symmetries of surfaces in 4-manifolds
• Lecture notes on link homologies and knotted surfaces

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