Homotopy theory of A∞ ring spectra and applications to MU-modules

K-Theory

Volumn 24, Issue 3, 2001, Pages 243-281

  Lazarev, A ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Morava K theories; R algebras; Topological Hochschild cohomology

Indexed keywords

EID: 0242506419     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013394125552     Document Type: Article

References (19)

1. Adams, J. F.: Stable Homotopy and Generalized Homology, Univ. Chicago Press, Chicago, 1974.
2. Baker, A. and Wurgler, U.: Bockstein operations in Morava K-theories. Forum Math. 3(6) (1991), 543-556.
3. Basterra, M.: Andre-Quillen cohomology of commutative S-algebras, J. Pure Appl. Algebra 144 (1999), 111-143.
4. Boardman, M.: Conditionally Convergent Spectral Sequences, Contemp. Math. 239, Amer. Math. Soc., Providence, RI, 1999.
5. Bousfield, A. K.: The localization of spectra with respect to homology, Topology 18(4) (1979), 257-281.
6. Cartan, H. and Eilenberg, S.: Homological Algebra, Princeton University Press, 1956.
7. Elmendorf, A. D., Kriz, I., Mandell, M. A. and May, J. P.: Rings, Modules and Algebras in Stable Homotopy Theory, Math. Surveys Monogr. 47. Amer. Math. Soc. Providence, 1996.
8. Franjou, V., Lannes, J. and Schwartz, L.: Autour de la cohomologie de MacLane des corps finis, Invent. Math. 115(3) (1994), 513-538.
9. Goerss, P. and Hopkins, M.: Andre-Quillen (Co)homology for Simplicial Algebras over Simplicial Operads, Contemp. Math. 265, Amer. Math. Soc. Providence, 2000, pp 41-84.
10. Kriz, I.: Towers of E∞ spectra with an application to B P, Preprint.
11. Lazarev, A.: Topological Hochschild cohomology I, Max-Planck-Institut fur Mathematik preprint series, 102, 1998.
12. Lazarev, A.: Topological Hochschild cohomology and applications to Morava K-theories, Max-Planck-Institut fur Mathematik preprint series, 95, 1999.
13. MacLane, S.: Homology, Springer-Verlag, New York, 1963.
14. Mandell, M.: E∞ algebras and p-adic homotopy theory, Topology 40 (2001), 43-94.
15. McClure, J. E. and Staffeldt, R. E.: On the topological Hochschild homology of bu I, Amer. J. Math. 115 (1993), 1-45.
16. Rezk, C.: Notes on the Hopkins-Miller Theorem, Contemp. Math. 220, Amer. Math. Soc., Providence, RI, 1998.
17. Robinson, A.: Obstruction Theory and the Strict Associativity of Morava K-Theories, London Math. Soc. Lecture Notes Ser. 139, Cambridge Univ. Press, 1989, pp. 143-152.
18. Strickland, N.: Products on MU-modules, Trans. Amer. Math. Soc. 351 (1999), 2569-2606.
19. Yagita, N.: A topological note on the Adams spectral sequence based on Morava's K-theory, Proc. Amer. Math. Soc. 72 (1978), 613-617.