Group actions on Segal operads

Julia E. Bergner; Philip Hackney

doi:10.1007/s11856-014-1075-2

Group actions on Segal operads

Julia E. Bergner^*, Philip Hackney

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 a Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.

Original language	English
Pages (from-to)	423-460
Number of pages	38
Journal	Israel Journal of Mathematics
Volume	202
Issue number	1
DOIs	https://doi.org/10.1007/s11856-014-1075-2
Publication status	Published - Jul 2014
Externally published	Yes

Keywords

DENDROIDAL SETS
HOMOTOPY-THEORY
ALGEBRAS
MODELS

Access to Document

10.1007/s11856-014-1075-2

Cite this

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title = "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 a Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.",

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author = "Bergner, {Julia E.} and Philip Hackney",

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T1 - Group actions on Segal operads

AU - Bergner, Julia E.

AU - Hackney, Philip

PY - 2014/7

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AB - 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 a Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.

KW - DENDROIDAL SETS

KW - HOMOTOPY-THEORY

KW - ALGEBRAS

KW - MODELS

U2 - 10.1007/s11856-014-1075-2

DO - 10.1007/s11856-014-1075-2

M3 - Article

VL - 202

SP - 423

EP - 460

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

SN - 0021-2172

IS - 1

ER -