Null-homologous exotic surfaces in 4–manifolds

Neil R. Hoffman, Nathan S. Sunukjian

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)2677-2685
Number of pages9
JournalAlgebraic and Geometric Topology
Volume20
Issue number5
DOIs
StatePublished - 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020, Mathematical Science Publishers. All rights reserved.

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