ELI5: Explain Like I'm 5

Milnor number

Ok kiddo, have you ever seen a picture of a mountain or a hill that has a little bump on the top? That bump is called a peak or a summit. Now imagine the little bump is a point on a curve.

The curve is like a line that might look squiggly or like a circle or an oval. But that little point, or summit, on the curve is very special. It's called a singularity, and it means that the curve isn't smooth at that point.

The Milnor number is a way to measure how bumpy the curve is at that singularity point. Think of it like counting how many bumps or little hills are on that point of the curve. The Milnor number tells us how complicated the singularity is, and it helps us to understand the curve better.

It's like if you were trying to climb a mountain. The Milnor number would tell you how hard it is to climb to the very top of that mountain even if there is only a small bump at the very top. So by understanding the Milnor number, we can figure out how difficult it is to study that particular point on the curve and understand it better.