An infinity operad of normalized cacti

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

  • Luciana Basualdo Bonatto
  • Safia Chettih
  • Abigail Linton
  • Sophie Raynor
  • Marcy Robertson
  • Wahl, Nathalie

We endow the normalized cacti with the structure of an ∞-operad by showing that its existing composition laws are associative up to all higher homotopies. The higher homotopies are encoded by a new topological operad of bracketed trees which we relate both to an enrichment of the dendroidal category Ω and to the Boardman-Vogt W-construction on the operad of operads.

OriginalsprogEngelsk
Artikelnummer108107
TidsskriftTopology and Its Applications
Vol/bind316
Sider (fra-til)1-54
ISSN0166-8641
DOI
StatusUdgivet - 2022

Bibliografisk note

Funding Information:
This work was done as part of the Women in Topology Workshop in August 2019, supported by the Hausdorff Research Institute for Mathematics, NSF grant DMS 1901795, the AWM ADVANCE grant NSF-HRD-1500481, and Foundation Compositio Mathematica (ref. 386). Additional work by L.B.B. and M.R. was carried out while in residence at MSRI in 2020. L.B.B. was supported by CNPq (201780/2017-8). S.R. acknowledges the support of the Centre of Australian Category Theory and Australian Research Council grants DP160101519 and FT160100393. N.W. was supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151) and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 772960).

Funding Information:
This work was done as part of the Women in Topology Workshop in August 2019, supported by the Hausdorff Research Institute for Mathematics , NSF grant DMS 1901795 , the AWM ADVANCE grant NSF-HRD-1500481 , and Foundation Compositio Mathematica (ref. 386 ). Additional work by L.B.B. and M.R. was carried out while in residence at MSRI in 2020. L.B.B. was supported by CNPq ( 201780/2017-8 ). S.R. acknowledges the support of the Centre of Australian Category Theory and Australian Research Council grants DP160101519 and FT160100393 . N.W. was supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology ( DNRF151 ) and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 772960 ).

Publisher Copyright:
© 2022 Elsevier B.V.

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