Null-homologous exotic surfaces in 4-manifolds

Abstract

In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically isotopic but smoothly distinct. The interesting thing about these tori is that they are topologically trivial in the sense that each bounds a topologically embedded solid handlebody. This implies that there are stably ribbon surfaces in 4-manifolds that are not ribbon.

8 pages, 2 figure, remarks added explaining the relevance of this work to stably ribbon surfaces

References in corpus (3)

• Topological triviality of smoothly knotted surfaces in 4-manifolds
• Surgery on Nullhomologous Tori
• Knotted surfaces in 4-manifolds and stabilizations

Cited by in corpus (1)

• Exotically knotted disks and complex curves