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arXiv · 2507.10192

Condensation of the operad for multiplicative hyperoperads

Florian De Leger·Maroš Grego
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Abstract

We construct a map of operads from an $E_2$-operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an $E_2$-action on the homotopy limit of the underlying functor of a multiplicative hyperoperad. This result is the higher dimensional analogue of a result due to Batanin and Berger implying Deligne's conjecture.

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Florian De Leger, Maroš Grego. 2025-07-14. Condensation of the operad for multiplicative hyperoperads. https://arxiv.org/abs/2507.10192

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