Real models for the framed little n-disks operads

2017/05/23 by Anton Khoroshkin, Thomas Willwacher, Khoroshkin, Anton +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1705.08108

openalex publication_date 2017/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the action of the orthogonal group on the little n-disks operads. As an application we provide small models (over the reals) for the framed little n-disks operads. It follows in particular that the framed little n-disks operads are formal (over the reals) for n even and coformal for all n.

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