Isogenies of formal group laws and power operations in the cohomology theories $E_n$

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Isogenies of formal group laws and power operations in the cohomology theories $E_n$

Matthew Ando

Source: Duke Math. J. Volume 79, Number 2 (1995), 423-485.

First Page: Show

Primary Subjects: 55N22

Secondary Subjects: 14L05

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285158
Mathematical Reviews number (MathSciNet): MR1344767
Zentralblatt MATH identifier: 0862.55004
Digital Object Identifier: doi:10.1215/S0012-7094-95-07911-3

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References

[And92] M Ando, Operations in complex-oriented cohomology theories related to subgroups of formal groups, Ph.D. thesis, Massachusetts Inst. of Technology, 1992.

[Ati66] M. F. Atiyah, Power operations in $K$-theory, Quart. J. Math. Oxford Ser. (2) 17 (1966), 165–193.

Mathematical Reviews (MathSciNet): MR34:2004

Zentralblatt MATH: 0144.44901

Digital Object Identifier: doi:10.1093/qmath/17.1.165

[Bak90] A. Baker, Hecke operators as operations in elliptic cohomology, J. Pure Applied Algebra 63 (1990), no. 1, 1–11.

Mathematical Reviews (MathSciNet): MR91m:55005

Zentralblatt MATH: 0688.55007

Digital Object Identifier: doi:10.1016/0022-4049(90)90052-J

[BMMS86] R. Bruner, J. P. May, J. E. McClure, and M. Steinberger, $H_\infty$ ring spectra and their applications, Lecture Notes in Math., vol. 1176, Springer, Berlin, 1986.

Mathematical Reviews (MathSciNet): MR88e:55001

Zentralblatt MATH: 0585.55016

[BT89] R. Bott and C. Taubes, On the rigidity theorems of Witten, J. Amer. Math. Soc. 2 (1989), no. 1, 137–186.

Mathematical Reviews (MathSciNet): MR89k:58270

Zentralblatt MATH: 0667.57009

Digital Object Identifier: doi:10.2307/1990915

JSTOR: links.jstor.org

[DHS88] Ethan S. Devinatz, Michael J. Hopkins, and Jeffrey H. Smith, Nilpotence and stable homotopy theory. I, Ann. of Math. (2) 128 (1988), no. 2, 207–241.

Mathematical Reviews (MathSciNet): MR89m:55009

Zentralblatt MATH: 0673.55008

Digital Object Identifier: doi:10.2307/1971440

JSTOR: links.jstor.org

[Dri73] V. G. Drinfel'd, Elliptic modules, Math. USSR-Sb. 23 (1973).

Zentralblatt MATH: 0321.14014

[HKR92] M. J. Hopkins, N. J. Kuhn, and D. C. Ravenel, Generalized groups characters and complex oriented cohomology theories, preprint, 1992.

Mathematical Reviews (MathSciNet): MR1758754

Digital Object Identifier: doi:10.1090/S0894-0347-00-00332-5

JSTOR: links.jstor.org

[HM93] M. J. Hopkins and H. R. Miller, The spectrum $E_n$ has uniquely the structure of an $E_\infty$ ring spectrum, in preparation.

[Hop87] M. J. Hopkins, Global methods in homotopy theory, Homotopy theory (Durham, 1985), London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, Proc. Durham Symposium, pp. 73–96.

Mathematical Reviews (MathSciNet): MR89g:55022

Zentralblatt MATH: 0657.55008

[Hop91] M. J. Hopkins, 1991, correspondence.

[KM85] N. M. Katz and B. Mazur, Arithmetic Moduli of Elliptic Curves, Annals of Math Studies, vol. 108, Princeton University Press, Princeton, 1985.

Mathematical Reviews (MathSciNet): MR86i:11024

Zentralblatt MATH: 0576.14026

[Lan76] P. S. Landweber, Homological properties of comodules over $M\rm U\sb\ast (M\rm U)$ and BP$\sb\ast$(BP), Amer. J. Math. 98 (1976), no. 3, 591–610.

Mathematical Reviews (MathSciNet): MR54:11311

Zentralblatt MATH: 0355.55007

Digital Object Identifier: doi:10.2307/2373808

JSTOR: links.jstor.org

[LT65] J. Lubin and J. Tate, Formal complex multiplication in local fields, Ann. of Math. (2) 81 (1965), 380–387.

Mathematical Reviews (MathSciNet): MR30:3094

Zentralblatt MATH: 0128.26501

Digital Object Identifier: doi:10.2307/1970622

JSTOR: links.jstor.org

[LT66] J. Lubin and J. Tate, Formal moduli for one-parameter formal Lie groups, Bull. Soc. Math. France 94 (1966), 49–59.

Mathematical Reviews (MathSciNet): MR39:214

Zentralblatt MATH: 0156.04105

[Lub67] J. Lubin, Finite subgroups and isogenies of one-parameter formal Lie groups, Ann. of Math. (2) 85 (1967), 296–302.

Mathematical Reviews (MathSciNet): MR35:189

Zentralblatt MATH: 0166.02803

Digital Object Identifier: doi:10.2307/1970443

JSTOR: links.jstor.org

[Qui71] D. M. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971), 29–56 (1971).

Mathematical Reviews (MathSciNet): MR44:7566

Zentralblatt MATH: 0214.50502

Digital Object Identifier: doi:10.1016/0001-8708(71)90041-7

[Rav86] D. C. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres, Pure and Applied Mathematics, vol. 121, Academic Press, Orlando, FL, 1986.

Mathematical Reviews (MathSciNet): MR87j:55003

Zentralblatt MATH: 0608.55001

[RW77] D. C. Ravenel and W. S. Wilson, The Hopf ring for complex cobordism, J. Pure Appl. Algebra 9 (1977), no. 3, 241–280.

Mathematical Reviews (MathSciNet): MR56:6644

Zentralblatt MATH: 0373.57020

Digital Object Identifier: doi:10.1016/0022-4049(77)90070-6

[SE62] N. E. Steenrod, Cohomology Operations, Ann. of Math. Stud., vol. 50, Princeton University Press, Princeton, 1962.

Mathematical Reviews (MathSciNet): MR26:3056

Zentralblatt MATH: 0102.38104

[Tho54] R. Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86.

Mathematical Reviews (MathSciNet): MR15,890a

Zentralblatt MATH: 0057.15502

Digital Object Identifier: doi:10.1007/BF02566923

[tDi68] T. tom Dieck, Steenrod-Operationen in Kobordismen-Theorien, Math. Z. 107 (1968), 380–401.

Mathematical Reviews (MathSciNet): MR39:6302

Zentralblatt MATH: 0167.51801

Digital Object Identifier: doi:10.1007/BF01110069

[Wil82] W. S. Wilson, Brown-Peterson homology: an introduction and sampler, CBMS Regional Conference Series in Mathematics, vol. 48, Conference Board of the Mathematical Sciences, Washington, D.C., 1982.

Mathematical Reviews (MathSciNet): MR83j:55005

Zentralblatt MATH: 0518.55001

[Witt88] E. Witten, The index of the Dirac operator in loop space, Elliptic Curves and Modular Forms in Algebraic Topology (Princeton, NJ, 1986), Lecture Notes in Math., vol. 1326, Springer-Veralg, Berlin, 1988, pp. 161–181.

Mathematical Reviews (MathSciNet): MR970288

Zentralblatt MATH: 0679.58045

Digital Object Identifier: doi:10.1007/BFb0078045

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