The classification of some GK-trisections

TL;DR

This paper classifies a broad class of unbalanced 4-manifold GK-trisections, extending the framework of 4-manifold trisections introduced by Gay and Kirby, and provides new insights into their structure.

Contribution

It introduces a classification of unbalanced GK-trisections, generalizing the existing 4-manifold trisection theory by Gay and Kirby.

Findings

Classification of a large class of unbalanced GK-trisections

Extension of Gay and Kirby's 4-manifold trisection framework

New structural insights into 4-manifold decompositions

Abstract

We classify a large class of "unbalanced" 4-manifold GK-trisections, which are a slight generalization of 4-manifold trisections defined by Gay and Kirby.