On the equivalence of Lurie's ∞-operads and dendroidal ∞-operads

Vladimir Hinich, Ieke Moerdijk*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this paper, we prove the equivalence of two symmetric monoidal (Formula presented.) -categories of (Formula presented.) -operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.

Original languageEnglish
Article numbere70003
Number of pages31
JournalJournal of Topology
Volume17
Issue number4
DOIs
Publication statusPublished - Dec 2024

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Journal of Topology is copyright © London Mathematical Society.

Funding

A large part of the paper was written during V.H.'s (prepandemic) visits to University of Utrecht. We thank Rune Haugseng for helpful correspondence and Matija Basi\u0107 for help with the pictures. We are very grateful to the referees whose remarks helped to improve the exposition. The work of V.H. was supported by ISF 786/19\u00A0grant. A large part of the paper was written during V.H.'s (prepandemic) visits to University of Utrecht. We thank Rune Haugseng for helpful correspondence and Matija Basi\u0107 for help with the pictures. We are very grateful to the referees whose remarks helped to improve the exposition. The work of V.H. was supported by ISF 786/19 grant.

FundersFunder number
Universiteit Utrecht
Israel Science Foundation786/19

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