Equivariant dendroidal sets and simplicial operads

Abstract

We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we further conclude that the homotopy coherent nerve is a right-Quillen equivalence from the model category of equivariant simplicial operads with norm maps to the model category structure for equivariant-$\infty$-operads in equivariant dendroidal sets.

v3: Improvements to exposition and minor edits, in response to referee suggestions

References in corpus (6)

• Higher Topos Theory
• Encoding Equivariant Commutativity via Operads
• Genuine equivariant operads
• Equivariant dendroidal sets
• Equivariant dendroidal Segal spaces and $G$-$\infty$-operads
• Homotopy theory of equivariant operads with fixed colors

Cited by in corpus (3)

• Genuine equivariant operads
• Homotopy theory of equivariant operads with fixed colors
• On the homotopy theory of equivariant colored operads