Algebraic & Geometric Topology Volume 25, issue 7 (2025)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Algebras for enriched $\infty$-operads

Rune Haugseng

Algebraic & Geometric Topology 25 (2025) 3789–3811

DOI: 10.2140/agt.2025.25.3789

Bibliography

1	D Ayala, J Francis, Flagged higher categories, from: "Topology and quantum theory in interaction", Contemp. Math. 718, Amer. Math. Soc. (2018) 137 MR3869643
2	C Barwick, From operator categories to higher operads, Geom. Topol. 22 (2018) 1893 MR3784514
3	D L B Brantner, The Lubin–Tate theory of spectral Lie algebras, PhD thesis, Harvard University (2017) MR4172386
4	H Chu, R Haugseng, Enriched ∞-operads, Adv. Math. 361 (2020) 106913 MR4038556
5	D C Cisinski, Higher categories and homotopical algebra, 180, Cambridge Univ. Press (2019) MR3931682
6	D Gepner, R Haugseng, Enriched ∞-categories via non-symmetric ∞-operads, Adv. Math. 279 (2015) 575 MR3345192
7	D Gepner, R Haugseng, T Nikolaus, Lax colimits and free fibrations in ∞-categories, Doc. Math. 22 (2017) 1225 MR3690268
8	R Haugseng, ∞-operads via symmetric sequences, Math. Z. 301 (2022) 115 MR4405646
9	G Heuts, Algebras over ∞-operads, preprint (2011) arXiv:1110.1776
10	V Hinich, Yoneda lemma for enriched ∞-categories, Adv. Math. 367 (2020) 107129 MR4080581
11	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
12	J Lurie, Higher algebra, preprint (2017)
13	A Mazel-Gee, Quillen adjunctions induce adjunctions of quasicategories, New York J. Math. 22 (2016) 57 MR3484677
14	D Pavlov, J Scholbach, Admissibility and rectification of colored symmetric operads, J. Topol. 11 (2018) 559 MR3830876
15	D Pavlov, J Scholbach, Homotopy theory of symmetric powers, Homology Homotopy Appl. 20 (2018) 359 MR3785971
16	S Schwede, An untitled book project about symmetric spectra, (2007)
17	B Shipley, A convenient model category for commutative ring spectra, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K-theory", Contemp. Math. 346, Amer. Math. Soc. (2004) 473 MR2066511
18	M Spitzweck, Operads, algebras and modules in general model categories, preprint (2001) arXiv:math/0101102
19	T H Trimble, Notes on the Lie operad, preprint (2019)
20	D White, D Yau, Bousfield localization and algebras over colored operads, Appl. Categ. Structures 26 (2018) 153 MR3749666
21	D White, D Yau, Smith ideals of operadic algebras in monoidal model categories, Algebr. Geom. Topol. 24 (2024) 341 MR4721371