Morse Theory is a branch of differential topology that studies the topology of manifolds using smooth functions and their critical points. It connects the geometry of a manifold with its topology, allowing us to analyze the shape and structure of spaces by examining how a function changes as it passes through critical points. This powerful tool has applications in various fields, including Floer homology, where it helps in understanding the relationships between different geometrical and topological structures.
congrats on reading the definition of Morse Theory. now let's actually learn it.