Solving the quartic with a pencil

TL;DR

This paper introduces the general solution of quartic equations as a foundation to explain Lefschetz fibrations, making complex mathematical concepts accessible to a broad audience.

Contribution

It provides an accessible exposition linking quartic solutions to Lefschetz fibrations, bridging algebraic and geometric perspectives.

Findings

Clear presentation of quartic solutions

Introduction of Lefschetz fibrations for a broad audience

Bridging algebraic and geometric concepts

Abstract

This expository paper presents the general solution of a quartic equation as a jump off point to introduce Lefschetz fibrations. It should be accessible to a broad audience.