Topological Field Theory (TFT) is a branch of theoretical physics that studies the properties of fields and particles in a way that is invariant under continuous deformations. It focuses on the topological aspects of space, meaning it looks at how shapes and spaces can be transformed without tearing or gluing. This approach helps in understanding various physical phenomena, particularly in quantum field theory. TFT has applications in different areas, including string theory and quantum gravity. It also connects to mathematics, particularly in the study of manifolds and homotopy theory, providing insights into the relationship between physical theories and mathematical structures.