Condensation of the operad for multiplicative hyperoperads
Abstract
We construct a map of operads from an E2-operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an E2-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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