Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
On $k$-invariants for $(\infty, n)$-categories

Yonatan Harpaz, Joost Nuiten and Matan Prasma

Algebraic & Geometric Topology 25 (2025) 721–790
Bibliography
1 M Ando, A J Blumberg, D Gepner, M J Hopkins, C Rezk, An -categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology, J. Topol. 7 (2014) 869 MR3252967
2 C Barwick, From operator categories to higher operads, Geom. Topol. 22 (2018) 1893 MR3784514
3 C Barwick, S Glasman, D Nardin, Dualizing cartesian and cocartesian fibrations, Theory Appl. Categ. 33 (2018) 67 MR3746613
4 M Basterra, M A Mandell, Homology and cohomology of E ring spectra, Math. Z. 249 (2005) 903 MR2126222
5 B Calmès, E Dotto, Y Harpaz, F Hebestreit, M Land, K Moi, D Nardin, T Nikolaus, W Steimle, Hermitian K-theory for stable -categories, II : Cobordism categories and additivity, preprint (2020) arXiv:2009.07224
6 W G Dwyer, D M Kan, An obstruction theory for diagrams of simplicial sets, Nederl. Akad. Wetensch. Indag. Math. 46 (1984) 139 MR749527
7 W G Dwyer, D M Kan, J H Smith, An obstruction theory for simplicial categories, Nederl. Akad. Wetensch. Indag. Math. 48 (1986) 153 MR849715
8 D Gepner, M Groth, T Nikolaus, Universality of multiplicative infinite loop space machines, Algebr. Geom. Topol. 15 (2015) 3107 MR3450758
9 D Gepner, R Haugseng, Enriched -categories via non-symmetric -operads, Adv. Math. 279 (2015) 575 MR3345192
10 P G Goerss, M J Hopkins, André–Quillen (co-)homology for simplicial algebras over simplicial operads, from: "Une dégustation topologique", Contemp. Math. 265, Amer. Math. Soc. (2000) 41 MR1803952
11 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
12 M Groth, K Ponto, M Shulman, The additivity of traces in monoidal derivators, J. K-Theory 14 (2014) 422 MR3349323
13 Y Harpaz, J Nuiten, M Prasma, The abstract cotangent complex and Quillen cohomology of enriched categories, J. Topol. 11 (2018) 752 MR3989430
14 Y Harpaz, J Nuiten, M Prasma, Quillen cohomology of (,2)-categories, High. Struct. 3 (2019) 17 MR3939045
15 Y Harpaz, J Nuiten, M Prasma, The tangent bundle of a model category, Theory Appl. Categ. 34 (2019) 1039 MR4020832
16 Y Harpaz, J Nuiten, M Prasma, Tangent categories of algebras over operads, Israel J. Math. 234 (2019) 691 MR4040842
17 R Haugseng, Rectification of enriched -categories, Algebr. Geom. Topol. 15 (2015) 1931 MR3402334
18 R Haugseng, On lax transformations, adjunctions, and monads in (,2)-categories, High. Struct. 5 (2021) 244 MR4367222
19 R Haugseng, F Hebestreit, S Linskens, J Nuiten, Lax monoidal adjunctions, two-variable fibrations and the calculus of mates, Proc. Lond. Math. Soc. 127 (2023) 889 MR4655344
20 V Hinich, Rectification of algebras and modules, Doc. Math. 20 (2015) 879 MR3404213
21 V Hinich, Dwyer–Kan localization revisited, Homology Homotopy Appl. 18 (2016) 27 MR3460765
22 S Linskens, D Nardin, L Pol, Global homotopy theory via partially lax limits, preprint (2022) arXiv:2206.01556
23 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
24 J Lurie, On the classification of topological field theories, from: "Current developments in mathematics, 2008", International (2009) 129 MR2555928
25 J Lurie, Spectral algebraic geometry, preprint (2016)
26 J Lurie, Higher algebra, preprint (2017)
27 J P May, J Sigurdsson, Parametrized homotopy theory, 132, Amer. Math. Soc. (2006) MR2271789
28 D Nardin, J Shah, Parametrized and equivariant higher algebra, preprint (2022) arXiv:2203.00072
29 E Riehl, D Verity, Homotopy coherent adjunctions and the formal theory of monads, Adv. Math. 286 (2016) 802 MR3415698
30 S Schwede, Spectra in model categories and applications to the algebraic cotangent complex, J. Pure Appl. Algebra 120 (1997) 77 MR1466099
31 G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR353298