The Convergence of\, $\tilde{\gamma}_s(b_0h_n-h_1b_{n-1})$

Citation:

Xiugui LIU,Xiangjun WANG.The Convergence of\, $\tilde{\gamma}_s(b_0h_n-h_1b_{n-1})$[J].Chinese Annals of Mathematics B,2006,27(3):329~340
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Authors:

Xiugui LIU; Xiangjun WANG

Foundation:

Project supported by the National Natural Science Foundation of China (No.10501045), the Tianyuan Foundation of Mathematics (No.10426028) and the Fund of the Personnel Division of Nankai University.
Abstract: This paper computes the Thom map on $\gamma_2$ and proves that it is represented by $2b_{2,0}h_{1,2}$ in the ASS. The authors also compute the higher May differential of $b_{2,0}$, from which it is proved that $\tilde{\gamma}_s(b_0h_n-h_1b_{n-1})$ for $2\leq s

Keywords:

Stable homotopy, Adams spectral sequence, May spectral sequence

Classification:

55Q52, 55Q40
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