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• W3100709899 abstract "We introduce a convenient definition for weak cyclic operads, which is based on unrooted trees and Segal conditions. More specifically, we introduce a category $Xi$ of trees, which carries a tight relationship to the Moerdijk-Weiss category of rooted trees $Omega$. We prove a nerve theorem exhibiting colored cyclic operads as presheaves on $Xi$ which satisfy a Segal condition. Finally, we produce a Quillen model category whose fibrant objects satisfy a weak Segal condition, and we consider these objects as an up-to-homotopy generalization of the concept of cyclic operad." @default.
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• W3100709899 date "2019-03-12" @default.
• W3100709899 modified "2023-10-03" @default.
• W3100709899 title "Higher cyclic operads" @default.
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• W3100709899 doi "https://doi.org/10.2140/agt.2019.19.863" @default.
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