Moment map

Okay kiddo, let's imagine we have a ball and we are playing with it. When we throw the ball, we can tell how fast it's going and where it's going to go. This is kind of like a map that shows us information about the ball.

In the same way, a moment map helps us understand something called "symmetry" in geometry. Symmetry is like when something looks the same if we move it or turn it. For example, if we have a square and we turn it, it still looks like a square.

Now, let's say we have a shape, like a donut, that has a certain kind of symmetry. We can use a moment map to help us understand how this symmetry works. The map will show us information about how the donut moves and turns, just like the ball map showed us how the ball moves.

So, moment maps help us understand symmetry in shapes and how they move and turn. Just like a map helps us understand how to play with a ball!