Real models for the framed little n$n$‐disks operads

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

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Publication Details

Journal
Journal of Topology
Published
2025-10-09
DOI
https://doi.org/10.1112/topo.70042
Citations
1
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
3.69
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article

Real models for the framed little n$n$‐disks operads

Thomas Willwacher, Anton Khoroshkin
1 citations
Journal of Topology
Homotopy and Cohomology in Algebraic Topology
3.69
article

Real models for the framed little n$n$‐disks operads

Thomas Willwacher, Anton Khoroshkin
article en
1 citations

Abstract

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

Journal of TopologyVol. 18(4)
ETH Zurich (CH), University of Haifa (IL)
Openalex Percentile: Top 7%
Homotopy and Cohomology in Algebraic Topology
3.69
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Real models for the framed little n$n$‐disks operads — Thomas Willwacher, Anton Khoroshkin · Journal of Topology (2025) | TGRS Research Map | TGRS