Classification of trisections and the Generalized Property R Conjecture

By J. Meier, Trent Schirmer, Alexander Zupan. 2015

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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 $c$.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a1ce12e6e1a0d607de22d726c0d6bf292593df55