Algebraic & Geometric Topology Volume 20, issue 5 (2020)

Download this article
	For screen
	For printing

Recent 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

An unstable change of rings for Morava $E$–theory

Robert Thompson

Algebraic & Geometric Topology 20 (2020) 2145–2176

DOI: 10.2140/agt.2020.20.2145

Bibliography

1	M Bendersky, Some calculations in the unstable Adams–Novikov spectral sequence, Publ. Res. Inst. Math. Sci. 16 (1980) 739 MR602467
2	M Bendersky, E B Curtis, H R Miller, The unstable Adams spectral sequence for generalized homology, Topology 17 (1978) 229 MR508887
3	M Bendersky, E B Curtis, D Ravenel, EHP sequences in BP theory, Topology 21 (1982) 373 MR670742
4	M Bendersky, J R Hunton, On the coalgebraic ring and Bousfield–Kan spectral sequence for a Landweber exact spectrum, Proc. Edinb. Math. Soc. 47 (2004) 513 MR2096616
5	M Bendersky, R D Thompson, The Bousfield–Kan spectral sequence for periodic homology theories, Amer. J. Math. 122 (2000) 599 MR1759890
6	T P Bisson, A Joyal, Q–rings and the homology of the symmetric groups, from: "Operads : Proceedings of Renaissance Conferences" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 235 MR1436923
7	M. Boardman, Two more bases of QBP_∗(BP_∗), preprint (1984)
8	A K Bousfield, The K–theory localizations and v₁–periodic homotopy groups of H–spaces, Topology 38 (1999) 1239 MR1690156
9	A K Bousfield, Cosimplicial resolutions and homotopy spectral sequences in model categories, Geom. Topol. 7 (2003) 1001 MR2026537
10	A K Bousfield, D M Kan, The homotopy spectral sequence of a space with coefficients in a ring, Topology 11 (1972) 79 MR283801
11	E S Devinatz, Morava’s change of rings theorem, from: "The Čech centennial" (editors M Cenkl, H Miller), Contemp. Math. 181, Amer. Math. Soc. (1995) 83 MR1320989
12	E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586
13	M Hopkins, Hopf-algebroids and a new proof of the Morava–Miller–Ravenel change of rings theorem, preprint (1995)
14	M Hovey, Morita theory for Hopf algebroids and presheaves of groupoids, Amer. J. Math. 124 (2002) 1289 MR1939787
15	M Hovey, Homotopy theory of comodules over a Hopf algebroid, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 261 MR2066503
16	M Hovey, H Sadofsky, Invertible spectra in the E(n)–local stable homotopy category, J. London Math. Soc. 60 (1999) 284 MR1722151
17	H R Miller, D C Ravenel, Morava stabilizer algebras and the localization of Novikov’s E₂–term, Duke Math. J. 44 (1977) 433 MR458410
18	J Morava, Noetherian localisations of categories of cobordism comodules, Ann. of Math. 121 (1985) 1 MR782555
19	D Mulcahey, An unstable variant of the Morava change of rings theorem for K(n) theory, PhD thesis, City University of New York (2011) MR2982229
20	G M L Powell, Unstable modules over the Steenrod algebra revisited, from: "Proceedings of the school and conference in algebraic topology" (editors J Hubbuck, N H V Hu’ng, L Schwartz), Geom. Topol. Monogr. 11, Geom. Topol. Publ. (2007) 245 MR2402809
21	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042
22	D C Ravenel, W S Wilson, The Hopf ring for complex cobordism, J. Pure Appl. Algebra 9 (1977) 241 MR448337
23	D C Ravenel, W S Wilson, The Hopf ring for P(n), Canad. J. Math. 48 (1996) 1044 MR1414070