Volume 18, issue 7 (2018)

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

Volume 25, 1 issue

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
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
Cubical rigidification, the cobar construction and the based loop space

Manuel Rivera and Mahmoud Zeinalian

Algebraic & Geometric Topology 18 (2018) 3789–3820
Bibliography
1 J F Adams, On the cobar construction, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 409 MR0079266
2 R Antolini, Geometric realisations of cubical sets with connections, and classifying spaces of categories, Appl. Categ. Structures 10 (2002) 481 MR1937234
3 R Brown, P J Higgins, On the algebra of cubes, J. Pure Appl. Algebra 21 (1981) 233 MR617135
4 D Dugger, D I Spivak, Mapping spaces in quasi-categories, Algebr. Geom. Topol. 11 (2011) 263 MR2764043
5 D Dugger, D I Spivak, Rigidification of quasi-categories, Algebr. Geom. Topol. 11 (2011) 225 MR2764042
6 T G Goodwillie, Cyclic homology, derivations, and the free loopspace, Topology 24 (1985) 187 MR793184
7 K Hess, The Hochschild complex of a twisting cochain, J. Algebra 451 (2016) 302 MR3454410
8 K Hess, A Tonks, The loop group and the cobar construction, Proc. Amer. Math. Soc. 138 (2010) 1861 MR2587471
9 A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979
10 C Kapulkin, V Voevodsky, Cubical approach to straightening, preprint (2018)
11 M Kontsevich, Symplectic geometry of homological algebra, preprint (2009)
12 B Le Grignou, Composition + homotopy = cubes, preprint (2018) arXiv:1807.00153
13 J L Loday, Cyclic homology, 301, Springer (1998) MR1600246
14 J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
15 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
16 J Lurie, Higher algebra, book project (2017)
17 E Riehl, Categorical homotopy theory, 24, Cambridge Univ. Press (2014) MR3221774