Volume 14, issue 5 (2014)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
The homotopy theory of Khovanov homology

Brent Everitt and Paul Turner

Algebraic & Geometric Topology 14 (2014) 2747–2781
Bibliography
1 D Bar-Natan, On Khovanov's categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
2 D Bar-Natan, Khovanov's homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
3 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics 304, Springer (1972) MR0365573
4 E B Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971) 107 MR0279808
5 B Everitt, R Lipshitz, S Sarkar, P Turner, Khovanov homotopy types and the Dold–Thom functor, arXiv:1202.1856
6 B Everitt, P Turner, Homology of coloured posets: A generalisation of Khovanov's cube construction, J. Algebra 322 (2009) 429 MR2529096
7 B Everitt, P Turner, Bundles of coloured posets and a Leray–Serre spectral sequence for Khovanov homology, Trans. Amer. Math. Soc. 364 (2012) 3137 MR2888240
8 T G Goodwillie, Calculus, II: Analytic functors, $K\!$–Theory 5 (1991/92) 295 MR1162445
9 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
10 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
11 M Khovanov, Link homology and categorification, from: "International Congress of Mathematicians, Vol. 2" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 989 MR2275632
12 R Lipshitz, S Sarkar, A Khovanov homotopy type, arXiv:1112.3932
13 W S Massey, A basic course in algebraic topology, Graduate Texts in Mathematics 127, Springer (1991) MR1095046
14 J P May, Simplicial objects in algebraic topology, Van Nostrand Math. Studies 11, Van Nostrand (1967) MR0222892
15 B Mitchell, Rings with several objects, Advances in Mathematics 8 (1972) 1 MR0294454
16 I Moerdijk, Classifying spaces and classifying topoi, Lecture Notes in Mathematics 1616, Springer (1995) MR1440857
17 P Turner, Five lectures on Khovanov homology, arXiv:math/0606464
18 O Viro, Khovanov homology, its definitions and ramifications, Fund. Math. 184 (2004) 317 MR2128056
19 C A Weibel, An introduction to homological algebra, Cambridge Studies Adv. Math. 38, Cambridge Univ. Press (1994) MR1269324