Algebraic & Geometric Topology Volume 24, issue 3 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

A spectral sequence for spaces of maps between operads

Florian Göppl and Michael Weiss

Algebraic & Geometric Topology 24 (2024) 1655–1690

DOI: 10.2140/agt.2024.24.1655

Bibliography

1	J F Adams, Infinite loop spaces, 90, Princeton Univ. Press (1978) MR505692
2	S Axelrod, I M Singer, Chern–Simons perturbation theory, II, J. Differential Geom. 39 (1994) 173 MR1258919
3	C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
4	C Berger, I Moerdijk, The Boardman–Vogt resolution of operads in monoidal model categories, Topology 45 (2006) 807 MR2248514
5	C Berger, I Moerdijk, Resolution of coloured operads and rectification of homotopy algebras, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 31 MR2342815
6	C Berger, I Moerdijk, On the homotopy theory of enriched categories, Q. J. Math. 64 (2013) 805 MR3094501
7	J M Boardman, R M Vogt, Homotopy-everything H–spaces, Bull. Amer. Math. Soc. 74 (1968) 1117 MR0236922
8	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR420609
9	P Boavida de Brito, M Weiss, Spaces of smooth embeddings and configuration categories, J. Topol. 11 (2018) 65 MR3784227
10	P Boavida de Brito, G Horel, M Robertson, Operads of genus zero curves and the Grothendieck–Teichmüller group, Geom. Topol. 23 (2019) 299 MR3921321
11	D C Cisinski, I Moerdijk, Dendroidal sets as models for homotopy operads, J. Topol. 4 (2011) 257 MR2805991
12	D C Cisinski, I Moerdijk, Dendroidal Segal spaces and ∞–operads, J. Topol. 6 (2013) 675 MR3100887
13	D C Cisinski, I Moerdijk, Dendroidal sets and simplicial operads, J. Topol. 6 (2013) 705 MR3100888
14	E Dror Farjoun, Homotopy and homology of diagrams of spaces, from: "Algebraic topology" (editors H R Miller, D C Ravenel), Lecture Notes in Math., Springer (1987) 93
15	D Dugger, A primer on homotopy colimits, preprint (2008)
16	W G Dwyer, D M Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 (1980) 267 MR0579087
17	B Fresse, V Turchin, T Willwacher, The rational homotopy of mapping spaces of E_n operads, preprint (2017) arXiv:1703.06123
18	W Fulton, R MacPherson, A compactification of configuration spaces, Ann. of Math. 139 (1994) 183 MR1259368
19	E Getzler, J D S Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, preprint (1994) arXiv:hep-th/9403055
20	P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
21	G Heuts, Goodwillie approximations to higher categories, 1333, Amer. Math. Soc. (2021) MR4320769
22	J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR420610
23	J Milnor, On axiomatic homology theory, Pacific J. Math. 12 (1962) 337 MR0159327
24	I Moerdijk, I Weiss, Dendroidal sets, Algebr. Geom. Topol. 7 (2007) 1441 MR2366165
25	B A Munson, I Volić, Cubical homotopy theory, 25, Cambridge Univ. Press (2015) MR3559153
26	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
27	D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
28	J D Stasheff, Homotopy associativity of H–spaces, I, Trans. Amer. Math. Soc. 108 (1963) 275 MR158400
29	J D Stasheff, Homotopy associativity of H–spaces, II, Trans. Amer. Math. Soc. 108 (1963) 293 MR158400
30	M Sugawara, A condition that a space is group-like, Math. J. Okayama Univ. 7 (1957) 123 MR0097066
31	W Thumann, Operad groups and their finiteness properties, Adv. Math. 307 (2017) 417 MR3590523
32	I Weiss, Dendroidal sets, PhD thesis, Utrecht University (2007)
33	M S Weiss, Rational Pontryagin classes of Euclidean fiber bundles, Geom. Topol. 25 (2021) 3351 MR4372633