TQFT (Topological Quantum Field Theory)

Topological Quantum Field Theory (TQFT) is a mathematical framework that studies how space and shape affect quantum systems, focusing on properties that remain unchanged even when objects are smoothly deformed. Think of it as analyzing how features like knots or holes influence quantum states, regardless of size or stretching. TQFT provides tools to classify and understand complex topological structures through quantum concepts, bridging physics and geometry. It has applications in areas like quantum computing and understanding fundamental particles, emphasizing the relationship between shape, space, and quantum behavior without relying on detailed geometric details.