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Johnson-Freyd-Ostrik-Yu Question on Categorical Cocycles

Algebra · posed by Theo Johnson-Freyd, Victor Ostrik, Matthew Yu · partial

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Statement

Twisted Deligne products categorify the tensor product of two Grothendieck rings. Classifying them leads to categorical nn-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 33-cocycles they are.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Pavel Etingof, Dmitri Nikshych and Victor Ostrik, using ChatGPT 5.5 Pro

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai assisted
    — a person led the work and used a model along the way.

    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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