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Added to BF-theory the reference that right now I am believing is the earliest one:
Gary Horowitz, Exactly soluable diffeomorphism invariant theories Commun. Math. Phys. 125, 417-437 (1989)
But maybe I am wrong. Does anyone have an earlier one? I saw pointers to A. Schwarz articles from the late 70s, but I am not sure if he really considered BF as such.
Added
For the use of a version of BF-theory in arithmetic to deal with the non-orientability of arithmetic schemes see
- Magnus Carlson, Minhyong Kim, A note on abelian arithmetic BF-theory, (arXiv:1911.02236)
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