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

  • Choi, Young-Gi
  • Published : 2001.05.01

Abstract

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).

Keywords

Adams spectral sequence;Brown-Peterson homology;extension problem

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