Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

Morava K- theory of the double loop spaces of quaternionic stieffel manifolds

  • Park, Younggi (Department of Mathematics, Seoul City University, Jeonnong-Dong, Dongdaemun-Gu, Seoul 130-743)
  • Published : 1997.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we get the Morava K-theory of the double loop spaces of quarternionic Stiefel manifolds for an odd prime p by computing the Atiyah - Hirzebruch spectral sequence. We also get the homology with Z/(p) coefficients and analyze p torsion in the homology with Z coefficients.

Keywords

References

  1. Math. Scand. v.33 On bordism theory of manifolds with singularity N. A. Bass
  2. Ann. of Math v.75 Cohomology theories E. H. Brown
  3. Proc. Camb. Phil. Soc. v.59 The spectral sequence of an extraordinary cohomology theory C. R. F. Maunder
  4. Ann. of Math v.67 The Steenrod algebra and its dual J. W. Milnor
  5. Bull. Amer. Math. Soc. v.75 On the formal group laws of unoriented and complex cobordism theory D. G. Quillen
  6. Forum Math v.5 The homology and Morava Ktheories of Ω² SU(n) D. C. Ravenel
  7. Math. Z. v.199 Morava Ktheory of double loop spaces of the spheres A. Yamaguichi