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An infinity operad of normalized cacti

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.topol.2022.108107

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-5335-8637
Publisher:
Elsevier
Journal:
Topology and its Applications More from this journal
Volume:
316
Article number:
108107
Publication date:
2022-04-09
Acceptance date:
2020-09-23
Event title:
Women in Topology
Event location:
Bonn, Germany
Event website:
https://www.him.uni-bonn.de/events/scientific-events/single-scientific-events/women-in-topology-2019/description/
Event start date:
2020-08-26
Event end date:
2020-08-30
DOI:
ISSN:
0016-660X
Language:
English
Keywords:
Pubs id:
1237649
Local pid:
pubs:1237649
Deposit date:
2022-02-11

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