Group actions on Segal operads

Abstract

We give a Quillen equivalence between model structures for simplicial operads, described via the theory of operads, and Segal operads, thought of as certain reduced dendroidal spaces. We then extend this result to give an Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.

Revised version. Accepted to Isr J Math

References in corpus (1)

• Dendroidal sets and simplicial operads

Cited by in corpus (7)

• Spaces of smooth embeddings and configuration categories
• Operads of genus zero curves and the Grothendieck-Teichmüller group
• A graphical category for higher modular operads
• Higher cyclic operads
• Lecture notes on infinity-properads
• Partial groups as symmetric simplicial sets
• An infinity operad of normalized cacti