Classification of trisections and the Generalized Property R Conjecture

Jeffrey Meier; Trent Schirmer; Alexander Zupan

doi:10.1090/proc/13105

paper

Classification of trisections and the Generalized Property R Conjecture

arXiv:1507.06561 · doi:10.1090/proc/13105

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 $c$ .

14 pages, 2 figures. This paper subsumes the results of arXiv:1503.08511