Jeffrey Meier, Trent Schirmer, Alexander Zupan
Published 2015-07-23Version 1
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 $c$.
Comments: 14 pages, 2 figures. This paper subsumes the results of arXiv:1503.08511
Classification of genus two knots which admit a (1,1) decomposition
Classification of knots in T x I with at most 4 crossings
On the Classification of Topological Quandles
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