#### Volume 20, issue 5 (2020)

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Null-homologous exotic surfaces in $4$–manifolds

### Neil R Hoffman and Nathan S Sunukjian

Algebraic & Geometric Topology 20 (2020) 2677–2685
##### Abstract

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.

##### Keywords
ribbon surface, exotically embedded tori
##### Mathematical Subject Classification 2010
Primary: 57Q45, 57R40, 57R52, 57R57
Secondary: 57M25