We introduce a general definition for coloured cyclic operads over a symmetric monoidal ground category, which has several appealing features. The forgetful functor from coloured cyclic operads to coloured operads has both adjoints, each of which is relatively simple. Explicit formulae for these adjoints allow us to lift the Cisinski–Moerdijk model structure on the category of coloured operads enriched in simplicial sets to the category of coloured cyclic operads enriched in simplicial sets.

中文翻译：

---

循环操作数的 Dwyer-Kan 同伦理论

我们介绍了对称单曲面地面类别上彩色循环操作数的一般定义，该类别具有几个吸引人的特征。从彩色循环操作数到彩色操作数的健忘函子都有两个伴随词，每个都相对简单。这些伴随词的显式公式使我们能够将 Cisinski-Moerdijk 模型结构从单纯集丰富的有色操作子类别提升到单纯集丰富的有色循环操作子类别。