# Trisection diagrams and twists of 4-manifolds

## TL;DR

This paper provides a diagrammatic proof connecting Gluck and Price twists of 4-manifolds using trisection diagrams, and addresses a related open question.

## Contribution

It introduces a purely diagrammatic approach to relate two types of twists in 4-manifolds and resolves a question posed by Kim and Miller.

## Key findings

- Diagrammatic proof of the relation between Gluck and Price twists
- Answer to Kim and Miller's open question
- Enhanced understanding of 4-manifold twists through trisection diagrams

## Abstract

A theorem of Katanaga, Saeki, Teragaito, and Yamada relates Gluck and Price twists of 4-manifolds. Using trisection diagrams, we give a purely diagrammatic proof of this theorem, and answer a question of Kim and Miller.