ON THE EXTENSION PROBLEM IN THE ADAMS SPECTRAL SEQUENCE CONVERGING TO $BP_*(\Omega^2S^{2n+1})$

  • Choi, Young-Gi (Department of Mathematics Education, Seoul National University)
  • 발행 : 2001.05.01

초록

Revenel computed the Adams spectral sequence converging to BP(Ω$^2$S(sup)2n+1) and got the E(sub)$\infty$-term. Then he gave the conjecture about the extension. Here we prove that there should be non-trivial extension. We also study the BP(sub)*BP comodule structures on the polynomial algebras which are related with BP(sub)*(Ω$^2$S(sup)2n+1).

키워드

참고문헌

  1. Lecture Notes in Math. v.553 The Homology of iterated loop Spaces F. R. Cohen;T. Lada;J. P. May
  2. Amer. J. Math v.93 The structure of the Hopf algebra H*(BU) over a Z(p)-algebra D. Husemoller
  3. Amer. J. Math v.82 On the cobordism ring Ω* and a complex analogue J. W. Milnor
  4. Bull. Amer. Math. Soc. (N. S.) v.75 On the formal group laws of unorient and complex cobordism theory D. G. Quillen
  5. Complex Cobordism and Stable Homotopy Groups of Spheres D. C. Ravenel
  6. Ann. of Math. Stud. v.128 Nilpotence and Periodicity in Stable Homotopy Theory
  7. Forum Math. v.5 The Homology and Morava K-theories of Ω²SU(n)