Johnson-Freyd-Ostrik-Yu Question on Categorical Cocycles
Statement
Twisted Deligne products categorify the tensor product of two Grothendieck rings. Classifying them leads to categorical -cocycles, and Johnson-Freyd, Ostrik and Yu asked whether these are always pullbacks of ordinary group cocycles on the universal grading group of the underlying based ring. For -cocycles they are.
Context
answered for 3-cocycles, inside a broader partial classification of twisted Deligne products
A question from the fusion-category literature, posed by leading names in the area but specialized.
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The acknowledgement says only that the authors collaborated with the model in this paper, especially in the Appendix, which is where the cocycle question is answered. No step is attributed, so the lowest tier applies.
answered for 3-cocycles, inside a broader partial classification of twisted Deligne products
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