# Genus zero PALF structures on the Akbulut-Yasui plugs

## TL;DR

This paper constructs genus zero PALF structures on Akbulut-Yasui plugs, detailing their monodromies and analyzing the effects of plug twists on Stein surfaces, advancing understanding of 4-manifold topology.

## Contribution

It introduces explicit genus zero PALF structures on Akbulut-Yasui plugs and describes their monodromies as positive factorizations, providing new tools for 4-manifold studies.

## Key findings

- Constructed genus zero PALF structures on Akbulut-Yasui plugs
- Described monodromies as positive factorizations in the mapping class group
- Analyzed monodromies of PALFs on Stein surfaces related by plug twists

## Abstract

We construct a genus zero PALF structure on each of plugs introduced by Akbulut and Yasui and describe the monodromy as a positive factorization in the mapping class group of a fiber. We also examine the monodromies of PALFs on a certain pair of compact Stein surfaces such that one is obtained by applying a plug twist to the other.