Null-homologous exotic surfaces in 4-manifolds

Neil Hoffman; Nathan Sunukjian

doi:10.2140/agt.2020.20.2677

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arXiv · 1310.1838

Null-homologous exotic surfaces in 4-manifolds

Neil Hoffman·Nathan Sunukjian

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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.

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Neil Hoffman, Nathan Sunukjian. 2013-10-07. Null-homologous exotic surfaces in 4-manifolds. https://doi.org/10.2140/agt.2020.20.2677

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