Topological quantum field theory (TQFT) is a type of quantum field theory that is primarily concerned with the topological properties of a manifold rather than its geometric features. This means that the physical observables in TQFT are invariant under continuous deformations of the manifold, focusing on global properties and symmetries. TQFTs are especially significant in understanding phenomena like the quantum Hall effect, where the topological nature of certain states leads to robust physical predictions that are independent of local details.
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