ELI5: Explain Like I'm 5

Leray residue

Okay, so let's imagine you have a bunch of cookies that you want to share with your friends. But there are some pesky crumbs left in the cookie jar that you don't want to give to your friends, right?

Well, the same thing happens with math equations sometimes! There can be some "leftover" bits that we don't want to count. That's where the Leray residue comes in.

When we're doing math with something called a differential form (don't worry, we won't go into what that is!), we might end up with a bit left over at certain points. The Leray residue helps us "clean up" those leftovers and get a more accurate answer.

Think of it like using a strainer to sift out the crumbs from the cookie dough. The Leray residue helps us sift out the pesky leftovers from our equations.

It might sound complicated, but it's just a way to make sure we're getting the right answer when we do math. And just like sharing cookies with your friends, it's always good to make sure everyone gets a fair share!