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Topological Hochschild homology and cohomology of $A_\infty$ ring spectra

Vigleik Angeltveit

Geometry & Topology 12 (2008) 987–1032
1 V Angeltveit, The cyclic bar construction on ${A}_\infty$ H–spaces arXiv:math.AT/0612165
2 V Angeltveit, Enriched Reedy categories, to appear in Proc. Amer. Math. Soc.
3 V Angeltveit, J Rognes, Hopf algebra structure on topological Hochschild homology, Algebr. Geom. Topol. 5 (2005) 1223 MR2171809
4 C Ausoni, J Rognes, Algebraic K–theory of the fraction field of topological K–theory, in preparation
5 N A Baas, I Madsen, On the realization of certain modules over the Steenrod algebra, Math. Scand. 31 (1972) 220 MR0377879
6 A Baker, A Jeanneret, Brave new Bockstein operations, preprint available at http://www.maths.gla.ac.uk/ ajb/dvi-ps.html
7 A Baker, A Lazarev, On the Adams spectral sequence for $R$–modules, Algebr. Geom. Topol. 1 (2001) 173 MR1823498
8 A Baker, A Lazarev, Topological Hochschild cohomology and generalized Morita equivalence, Algebr. Geom. Topol. 4 (2004) 623 MR2100675
9 M Basterra, M A Mandell, Multiplicative structures on topological Hochschild homology, to appear
10 J M Boardman, Conditionally convergent spectral sequences, from: "Homotopy invariant algebraic structures (Baltimore, MD, 1998)", Contemp. Math. 239, Amer. Math. Soc. (1999) 49 MR1718076
11 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math. 347, Springer (1973) MR0420609
12 M Bökstedt, Topological Hochschild homology, unpublished
13 M Bökstedt, The topological Hochschild homology of $\mathbb{Z}$ and $\mathbb{Z}/p$, unpublished
14 R R Bruner, J P May, J E McClure, M Steinberger, $H_\infty $ ring spectra and their applications, Lecture Notes in Math. 1176, Springer (1986) MR836132
15 D Dugger, B Shipley, Postnikov extensions of ring spectra, Algebr. Geom. Topol. 6 (2006) 1785 MR2263050
16 W G Dwyer, J P C Greenlees, Complete modules and torsion modules, Amer. J. Math. 124 (2002) 199 MR1879003
17 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs 47, Amer. Math. Soc. (1997) MR1417719
18 Z Fiedorowicz, R Vogt, Topological Hochschild homology of $E_n$–ring spectra arXiv:math.AT/0410367
19 P G Goerss, Associative $MU$–algebras, preprint available at http://www.math.northwestern.edu/ pgoerss/
20 P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra", London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
21 M J Hopkins, H R Miller, Lubin–Tate deformations in algebraic topology, preprint
22 S O Kochman, Symmetric Massey products and a Hirsch formula in homology, Trans. Amer. Math. Soc. 163 (1972) 245 MR0331388
23 A Lazarev, Hoschschild cohomology and moduli spaces of strongly homotopy associative algebras, Homology Homotopy Appl. 5 (2003) 73 MR1989615
24 A Lazarev, Towers of $M$U–algebras and the generalized Hopkins–Miller theorem, Proc. London Math. Soc. $(3)$ 87 (2003) 498 MR1990937
25 T Leinster, Higher operads, higher categories, London Math. Soc. Lecture Note Series 298, Cambridge University Press (2004) MR2094071
26 J E McClure, J H Smith, A solution of Deligne's Hochschild cohomology conjecture, from: "Recent progress in homotopy theory (Baltimore, MD, 2000)", Contemp. Math. 293, Amer. Math. Soc. (2002) 153 MR1890736
27 C Nassau, On the structure of $P(n)_{*}P((n))$ for $p=2$, Trans. Amer. Math. Soc. 354 (2002) 1749 MR1881014
28 D C Ravenel, Complex cobordism and stable homotopy groups of spheres. 2nd ed., AMS Chelsea Pub. (2004) MR860042
29 C Rezk, Notes on the Hopkins–Miller theorem, from: "Homotopy theory via algebraic geometry and group representations (Evanston, IL, 1997)", Contemp. Math. 220, Amer. Math. Soc. (1998) 313 MR1642902
30 C Rezk, The units of a ring spectrum and a logarithmic cohomology operation, J. Amer. Math. Soc. 19 (2006) 969 MR2219307
31 A Robinson, Obstruction theory and the strict associativity of Morava $K$–theories, from: "Advances in homotopy theory (Cortona, 1988)", London Math. Soc. Lecture Note Ser. 139, Cambridge Univ. Press (1989) 143 MR1055874
32 A Robinson, S Whitehouse, Operads and $\Gamma$–homology of commutative rings, Math. Proc. Cambridge Philos. Soc. 132 (2002) 197 MR1874215
33 J Rognes, Galois extensions of structured ring spectra, Mem. Amer. Math. Soc. 192 (2008) 1
34 N P Strickland, Products on $\mathrm{MU}$–modules, Trans. Amer. Math. Soc. 351 (1999) 2569 MR1641115
35 M van den Bergh, A relation between Hochschild homology and cohomology for Gorenstein rings, Proc. Amer. Math. Soc. 126 (1998) 1345 MR1443171
36 M van den Bergh, Erratum to: “A relation between Hochschild homology and cohomology for Gorenstein rings” [Proc. Amer. Math. Soc. 126 (1998) 1345–1348], Proc. Amer. Math. Soc. 130 (2002) MR1900889
37 C A Weibel, S C Geller, Étale descent for Hochschild and cyclic homology, Comment. Math. Helv. 66 (1991) 368 MR1120653