Harpaz's conjecture on the operadic nerve functor
Harpaz's conjecture on the operadic nerve functor
Let be the category of Kan-enriched operads and let be the category of Lurie quasioperads. Consider Lurie's operadic nerve functor
Harpaz's conjecture. The functor induces an equivalence of -categories after localizing at weak equivalences.
The paper states that this long-standing conjecture has an affirmative answer as an application of its main theorem, so the conjecture is resolved.
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Sources & referencesView supporting material
Primary source
Kensuke Arakawa, Victor Carmona and Francesca Pratali, “Relative operads model -operads”, arXiv:2512.16374 (2025).
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