Okay kiddo, let me try to explain the Frölicher spectral sequence in a way that you can understand. Do you know what a sequence is? It's a list of things that follow one after the other.
Now, the Frölicher spectral sequence is a way of studying the shapes of objects called manifolds. Manifolds are like rubber sheets that can be stretched and bent, but never torn.
The Frölicher spectral sequence helps us understand the shapes of manifolds by breaking them down into smaller parts, kind of like cutting a pizza into slices. Just like how different toppings can go on each slice, different math concepts can be used to study different parts of the manifold.
The Frölicher spectral sequence helps us figure out what these different math concepts are and how they relate to each other. It's like putting together a puzzle, but instead of a picture, we're building a better understanding of the shape of the manifold.
So, that's the Frölicher spectral sequence explained in simple terms. It helps us understand the shapes of manifolds by breaking them down and using different math concepts to study them.