On the cooperation algebra of the connective Adams summand

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

The aim of this paper is to gain explicit information about the
multiplicative structure of l_*l, where l is the connective Adams summand. Our
approach differs from Kane's or Lellmann's because our main technical tool is
the MU-based Kuenneth spectral sequence. We prove that the algebra structure on
l_*l is inherited from the multiplication on a Koszul resolution of l_*BP.

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