Topological quantum field theory
= Topological quantum field theory
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= TQFT
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{synonym}
A <quantum field theory> assigning <vector spaces> to closed spatial <manifolds> and linear maps to interpolating spacetime <cobordisms>, compatibly with composition and disjoint union. Its <TQFT partition function> on $\Sigma\times S^1$ is the <trace> of the identity of the state space on $\Sigma$, hence its <dimension>.