Computing the General Complex Elliptic Genus

Let ψ denote the genus that corresponds to the formal group law having invariant differential ω(t) equal to √1 + p1t + p2t2 +p3t3 + p4t4 and let κ classify the formal group law strictly isomorphic to the universal formal group law under strict isomorphism xCP(x). We prove that on the rational complex bordism ring the Krichever-H¨ohn genus ϕKH is the composition ψ ◦ κ. We construct certain elements Aij in the Lazard ring and give an alternative definition of the universal Krichever formal group law. We conclude that the coefficient ring of the universal Krichever formal group law is the quotient of the Lazard ring by the ideal generated by all Aij , i, j ≥ 3. http://link.springer.com/article/10.1007/s40062-013-0049-0

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