Abstract:Abstract.We study the torsion-free part of the stable homotopy groups of the space BU, by considering upper and lower bounds. The upper bound is furnished by the ring PK,(BU) of coaction primitives into which n^(BU) is mapped by the complex /^-theoretic Hurewicz homomorphism nst(BV)^ PKt(BU).We characterize PK,(BU) in terms of symmetric numerical polynomials and describe systematic families of elements by utilizing the classical Kummer congruences among the Bernoulli numbers. For a lower bound we choose the ri… Show more
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