Exotic multiplications on Morava $K$-theories and their liftings

Exotic multiplications on Morava

K

-theories and their liftings

Baker, Andrew

Théorie de l'homotopie, Astérisque no. 191 (1990), p. 35-43

MR 1098965 | Zbl 0729.55001

@incollection{AST_1990__191__35_0,
     author = {Baker, Andrew},
     title = {Exotic multiplications on Morava $K$-theories and their liftings},
     booktitle = {Th\'eorie de l'homotopie},
     editor = {Miller H.-R. and Lemaire J.-M. and Schwartz L.},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {191},
     year = {1990},
     pages = {35-43},
     zbl = {0729.55001},
     mrnumber = {1098965},
     language = {en},
     url = {http://www.numdam.org/item/AST_1990__191__35_0}
}

Baker, Andrew. Exotic multiplications on Morava $K$-theories and their liftings, in Théorie de l'homotopie, Astérisque, no. 191 (1990), pp. 35-43. http://www.numdam.org/item/AST_1990__191__35_0/

References

[1] J. F. Adams, "Stable Homotopy and Generalised Homology," University of Chicago Press, 1974. | MR 402720 | Zbl 0309.55016

[2] A. Baker, On the homotopy type of the spectrum representing elliptic cohomology, Proc. Amer. Math. Soc. 107 (1989), 537-548. | Article | MR 982399 | Zbl 0677.55005

[3] A. Baker, $A_{\infty}$ structures on some spectra related to Morava $K$ -theory, Oxf. Quart. J. Math. (to appear). | Zbl 0772.55003

[4] A. Baker and U. Würgler, Liftings of formal group laws and the Artinian completion of $ν_{n}^{- 1} B P$ , Math. Proc. Camb. Phil. Soc., 511-530. | MR 1010375 | Zbl 0729.55002

[5] M. J. Hopkins, Global methods in homotopy theory, in Proc. Conf. on Homotopy theory, Durham 1985, LMS Lecture Note Series 117 (1987), 73-96. | MR 932260 | Zbl 0657.55008

[6] P. S. Landweber, Homological properties of comodules over $M U * M U$ and $B P * B P$ , Amer. J. Math. 98 (1976), 591-610. | Article | MR 423332 | Zbl 0355.55007

[7] D. C. Ravenel, "Complex Cobordism and the Stable Homotopy Groups of spheres," Academic Press, 1986. | MR 860042 | Zbl 0608.55001

[8] A. Robinson, Obstruction theory and the associativity of Morava $K$ -theories, in "Proc. of 5th Oxford Top. Conf. at Cortona" (to appear). | Zbl 0688.55008

[9] A. Robinson, Derived tensor products in stable homotopy theory, Topology 22 (1983), 1-18. | Article | MR 682056 | Zbl 0519.55004

[10] A. Robinson, Spectra of derived module homomorphisms, Math. Proc. Camb. Phil. Soc. 101 (1987), 249-257. | Article | MR 870596 | Zbl 0635.55011

[11] A. Robinson, Composition products in $R hom$ , and ring spectra of derived endomorphisms, in "Proc. of Int. Conf. Alg. Top. at Arcata" (to appear). | MR 1000390 | Zbl 0677.55009

[12] U. Würgler, On a class of $2$ -periodic cohomology theories, Math. Ann. 267 (1984), 251-269. | Article | MR 738251 | Zbl 0518.13004

[13] N. Yagita, The Steenrod algebra of Morava $K$ -theory, J. Lond. Math. Soc. 22 (1980), 423-438. | Article | MR 596321 | Zbl 0453.55013

[14] N. Yagita, The exact functor theorem for $B P / I_{n}$ , Proc. Jap. Acad. 52 (1976), 1-3. | Article | MR 394631 | Zbl 0344.55001