Exotic 4-manifolds with small trisection genus

Natsuya Takahashi

Published 2023-08-01Version 1

We show that there exists an exotic pair of $4$-manifolds with boundary whose trisection genera are $4$. We also construct genus-$3$ relative trisections for the infinite family $\{W^\pm(l,k)\}_{l,k\in\mathbb{Z}}$ of contractible $4$-manifolds introduced by Akbulut and Kirby.