INFINITESIMAL THICKENINGS OF MORAVA K-THEORIES

INFINITESIMAL THICKENINGS OF MORAVA K-THEORIES (2007)

Cached

Download Links

by Samuel Wüthrich

Citations:

BibTeX

@MISC{Wüthrich07infinitesimalthickenings,
    author = {Samuel Wüthrich},
    title = {INFINITESIMAL THICKENINGS OF MORAVA K-THEORIES},
    year = {2007}
}

Bookmark

OpenURL

Abstract

Abstract. A. Baker has constructed certain sequences of cohomology theories which interpolate between the Johnson–Wilson and the Morava K-theories. We realize the representing sequences of spectra as sequences of MU-algebras. Starting with the fact that the spectra representing the Johnson–Wilson and the Morava K-theories admit such structures, we construct the sequences by inductively forming singular extensions. Our methods apply to other pairs of MU-algebras as well. 1.

Citations

1426	Algebraic geometry - Hartshorne - 1977
174	Complex cobordism and stable homotopy groups of spheres. Pure and Applied Mathematics, 121 - Ravenel - 1986
162	Symmetric spectra - Hovey, Shipley, et al.
135	modules, and algebras in stable homotopy theory - Elmendorf, Kriz, et al. - 1997
124	Algebras and modules in monoidal model categories - Schwede, Shipley
122	Model categories. Mathematical Surveys and Monographs, 63 - Hovey - 1999
104	Axiomatic stable homotopy theory - Hovey, Palmieri, et al. - 1997
50	André-Quillen cohomology of commutative S-algebras - Basterra - 1999
40	Conditionally convergent spectral sequences - Boardman - 1999
26	Obstruction theory and the strict associativity of Morava K-theories. Advances in homotopy theory - Robinson - 1988
24	Homotopy limit functors on model categories and homotopical categories - Dwyer, Hirschhorn, et al. - 2004
24	Products on MU–modules - Strickland - 1999
23	Foundations of relative homological algebra - Eilenberg, Moore - 1965
21	Homotopy theory of A∞ ring spectra and applications to MU-modules - Lazarev
20	Moduli spaces of commutative ring spectra, Structured Ring Spectra - Goerss, Hopkins
17	Rezk, A resolution of the K(2)-local sphere at the prime 3 - Goerss, Henn, et al. - 2005
16	A∞ structures on some spectra related to Morava K-theories - Baker - 1991
16	Galois extensions of structured ring spectra - Rognes
14	Stable operations in generalized cohomology, in: Handbook of algebraic topology - Boardman - 1995
14	On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space - Miller - 1981
11	Small homomorphisms of local rings - Avramov - 1978
11	On the Adams Spectral Sequence for R-modules, Algebraic & Geometric Topology 1 - Baker, Lazarev - 2001
11	Grothendieck’s existence theorem in formal geometry, in: Fundamental algebraic geometry - Illusie - 2005
11	Gamma-homology of group algebras and of polynomial algebras - Richter, Robinson
10	Homotopy theory of comodules over a Hopf algebroid”, Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic - Hovey - 2004
10	On the Adams spectral sequence for R-modules - Baker, Lazarev
8	Brave new Hopf algebroids and extensions of MU-algebras, Homology, Homotopy and Applications - Jeanneret
7	On the Γ-cohomology of rings of numerical polynomials - Baker, Richter
5	Topological Hochschild homology and cohomology of A∞ ring spectra - Angeltveit
5	Towers of MU-algebras and the generalized Hopkins-Miller theorem - Lazarev
4	of MU-algebras and a generalized Hopkins-Miller theorem - Towers
3	A∞-obstruction theory and the strict associativity of E/I, preprint (2004); http://hopf.math.purdue.edu/cgi-bin/generate?/Angeltveit/Ainfinity - Angeltveit
3	Pairings and products in the homotopy spectral sequence - Bousfield, Kan - 1973
2	Associative MU algebras, preprint Available at http://www.math.nwu.edu/ ~ pgoerss - Goerss
1	I-adic towers in topology, Algebr. Geom. Topol - Wüthrich
1	A∞-obstruction theory and the strict associativity of E/I, available at http://www-math.mit.edu/∼vigleik/ (preprint - Angeltveit
1	available at http://www-math.mit.edu/∼vigleik - PhD-thesis
1	Associative MU-algebras, available at http://www.math.northwestern.edu/ ∼pgoerss/ (preprint - Goerss
1	Associative MU-algebras, available at www.math.nwu.edu/∼goerss (preprint - Goerss