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Topological quantum field theory.
27
votes
Accepted
Usefulness of using TQFTs
All the answers so far have focused on 3 dimensions, but the answer is much more striking in 4 dimensions. Freedman's theorem tells you that classical homology invariants give you complete informatio …
7
votes
What is the state in the WRT TQFT associated to a handlebody?
(Making this an answer, since it will be a little long, even though it doesn't actually answer the question.)
One thing to be aware of is that there are multiple ways to talk about this same TQFT. In …