The Perverse Study of the Milnor Fiber

TL;DR

This paper introduces the study of Milnor fibrations using derived categories and perverse sheaves, serving as a dictionary to translate classical topological concepts into algebraic and categorical frameworks.

Contribution

It provides a translation guide from classical topology of Milnor fibers to the language of derived categories and perverse sheaves, facilitating algebraic approaches.

Findings

Provides a categorical translation of Milnor fibrations

Facilitates algebraic analysis of topological phenomena

Serves as a reference for applying derived category methods

Abstract

In this note, we provide a quick introduction to the study of the Milnor fibration via the derived category and perverse sheaves. This is primarily a dictionary for translating from the standard topological setting to the derived category and/or the Abelian category of perverse sheaves.