Homology, Homotopy and Applications

Volume 25 (2023)

Number 1

A(nother) model for the framed little disks operad

Pages: 265 – 285

DOI: https://dx.doi.org/10.4310/HHA.2023.v25.n1.a14


Erik Lindell (Department of Mathematics, Stockholm University, Stockholm, Sweden)

Thomas Willwacher (Department of Mathematics, ETH Zurich, Switzerland)


We describe new graphical models of the framed little disks operad which exhibit large symmetry $\mathrm{dg}$ Lie algebras.


framed little disks operad, graph complex, real algebraic model, symmetry $\mathrm{dg}$ Lie algebra

2010 Mathematics Subject Classification

16E45, 18G55, 53C15, 53D55

Copyright © 2023, Erik Lindell and Thomas Willwacher. Permission to copy for private use granted.

This work was partially supported by the European Research Council Starting Grant GRAPHCPX.

Received 12 January 2021

Received revised 27 April 2022

Accepted 28 April 2022

Published 12 April 2023