Topological Quantum Field Theory as cobordism functor: Z: Cob_n → Vect_C (Atiyah-Segal)

Topological Quantum Field Theory via Atiyah-Segal cobordism axioms. Setup: an n-dim TQFT is a symmetric monoidal functor Z: Cob_n → Vect_C assigning a complex vector space H_Σ to each closed (n-1)-manifold Σ (the 'Hilbert space on spatial…