The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2
- Cite this article as:
- Shimomura, K. & Wang, X. Math Z (2002) 241: 271. doi:10.1007/s002090200415
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In this paper we determine the \(E_2\)-term of the Adams-Novikov spectral sequence converging to the homotopy groups \(\pi_*(L_2S^0)\) of \(L_2\)-localized sphere spectrum at the prime 2. The structure of the \(E_2\)-term indicates that the homotopy group \(\pi_i(L_2S^0)\) is finite except for i=0,-4 and -5.