Volume 17, issue 4 (2017)

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

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

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
Cyclotomic structure in the topological Hochschild homology of $DX$

Cary Malkiewich

Algebraic & Geometric Topology 17 (2017) 2307–2356
Bibliography
1 V Angeltveit, A J Blumberg, T Gerhardt, M A Hill, T Lawson, Interpreting the Bökstedt smash product as the norm, Proc. Amer. Math. Soc. 144 (2016) 5419 MR3556283
2 V Angeltveit, A Blumberg, T Gerhardt, M Hill, T Lawson, M Mandell, Topological cyclic homology via the norm, preprint (2014) arXiv:1401.5001
3 G Arone, A generalization of Snaith-type filtration, Trans. Amer. Math. Soc. 351 (1999) 1123 MR1638238
4 D Ayala, J Francis, Poincaré/Koszul duality, preprint (2014) arXiv:1409.2478
5 C Barwick, S Glasman, Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin, preprint (2016) arXiv:1602.02163
6 C Berger, I Moerdijk, On an extension of the notion of Reedy category, Math. Z. 269 (2011) 977 MR2860274
7 A J Blumberg, R L Cohen, C Schlichtkrull, Topological Hochschild homology of Thom spectra and the free loop space, preprint (2008) arXiv:0811.0553
8 A J Blumberg, M A Mandell, The homotopy theory of cyclotomic spectra, preprint (2013) arXiv:1303.1694
9 A M Bohmann, A comparison of norm maps, Proc. Amer. Math. Soc. 142 (2014) 1413 MR3162261
10 M Bökstedt, Topological Hochschild homology, preprint (1985)
11 M Bökstedt, W C Hsiang, I Madsen, The cyclotomic trace and algebraic K–theory of spaces, Invent. Math. 111 (1993) 465 MR1202133
12 M Brun, B I Dundas, M Stolz, Equivariant structure on smash powers, preprint (2016) arXiv:1604.05939
13 J A Campbell, Derived Koszul duality and topological Hochschild homology, preprint (2014) arXiv:1401.5147
14 R L Cohen, J D S Jones, A homotopy theoretic realization of string topology, Math. Ann. 324 (2002) 773 MR1942249
15 A Connes, Cohomologie cyclique et foncteurs Extn, C. R. Acad. Sci. Paris Sér. I Math. 296 (1983) 953 MR777584
16 W G Dwyer, M J Hopkins, D M Kan, The homotopy theory of cyclic sets, Trans. Amer. Math. Soc. 291 (1985) 281 MR797060
17 M A Hill, M J Hopkins, D C Ravenel, On the nonexistence of elements of Kervaire invariant one, Ann. of Math. 184 (2016) 1 MR3505179
18 J D S Jones, Cyclic homology and equivariant homology, Invent. Math. 87 (1987) 403 MR870737
19 D Kaledin, Motivic structures in non-commutative geometry, from: "Proceedings of the International Congress of Mathematicians, II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 461 MR2827805
20 N J Kuhn, The McCord model for the tensor product of a space and a commutative ring spectrum, from: "Categorical decomposition techniques in algebraic topology" (editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215, Birkhäuser (2004) 213 MR2039768
21 L G J Lewis, The stable category and generalized Thom spectra, PhD thesis, The University of Chicago (1978) MR2611772
22 L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
23 I Madsen, Algebraic K–theory and traces, from: "Current developments in mathematics, 1995" (editors R Bott, M Hopkins, A Jaffe, I Singer, D Stroock, S T Yau), Int. Press (1994) 191 MR1474979
24 C Malkiewich, Duality and linear approximations in Hochschild homology, K–theory, and string topology, PhD thesis, Stanford University (2014)
25 C Malkiewich, A tower connecting gauge groups to string topology, J. Topol. 8 (2015) 529 MR3356770
26 M A Mandell, J P May, Equivariant orthogonal spectra and S–modules, 755, Amer. Math. Soc. (2002) MR1922205
27 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
28 R Schwänzl, R M Vogt, Strong cofibrations and fibrations in enriched categories, Arch. Math. (Basel) 79 (2002) 449 MR1967263
29 M Stolz, Equivariant structure on smash powers of commutative ring spectra, PhD thesis, University of Bergen (2011)