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Topological quantum field theory.

5 votes
Accepted

Tell me something about these "component tensor" TQFT's

The theory you describe is Dijkgraaf-Witten theory with target space a discrete set with $r$ elements. In general, if $X$ is a $\pi$-finite space (i.e., a space with finite homotopy groups, all but fi …
Yonatan Harpaz's user avatar
6 votes
Accepted

Knot Factorization Homology inputs

Let me start with the second question: 2) The map $\alpha$ will indeed respect the degrees. You should think of it as a map between two $E_2$-algebras in unbounded chain-complexes (whose domain happe …
Yonatan Harpaz's user avatar