Classification of trisections and the Generalized Property R Conjecture

Jeffrey Meier; Trent Schirmer; Alexander Zupan

doi:10.1090/proc/13105

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arXiv · 1507.06561

Classification of trisections and the Generalized Property R Conjecture

Jeffrey Meier·Trent Schirmer·Alexander Zupan

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Abstract

We show that the members of a large class of unbalanced four-manifold trisections are standard, and we present a family of trisections that is likely to include non-standard trisections of the four-sphere. As an application, we prove a stable version of the Generalized Property R Conjecture for $c$-component links with tunnel number at most $c$.

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Jeffrey Meier, Trent Schirmer, Alexander Zupan. 2015-07-23. Classification of trisections and the Generalized Property R Conjecture. https://doi.org/10.1090/proc%2F13105

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