functorial quantum field theory
(∞,n)-category of cobordisms
Riemannian bordism category
generalized tangle hypothesis
classification of TQFTs
Reshetikhin–Turaev model / Chern-Simons theory
A-model, B-model, Gromov-Witten theory
homological mirror symmetry
FQFT and cohomology
(1,1)-dimensional Euclidean field theories and K-theory
(2,1)-dimensional Euclidean field theory
geometric models for tmf
holographic principle of higher category theory
quantization via the A-model
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A Euclidean quantum field theory is a quantum field theory given, as an FQFT, by a functor on a category of cobordisms that are equipped with Riemannian structure.
This is in contrast to the phenomenologically more realistic case where the cobordisms are equipped with pseudo-Riemannian structure and thus can be thought of as pieces of spacetime.
It is also in contrast to the case where the cobordisms are equipped with no extra structure, which is the case of topological quantum field theory.