The homotopy groups of L2T(m)/(p^{[m/2]+2}, v_1) for m>1
The homotopy groups of L2T(m)/(p^{[m/2]+2}, v_1) for m>1
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m>1 时 L2T(m)/(p^{[m/2] 2}, v_1) 的同伦群
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发表时间：
2018
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通讯作者：
Yuan Zihong
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作者：
Wang Xiangjun;Yuan Zihong
设T（m）为BP_*-同调的Ravenel谱，BP_*[t_1，…，t_m]。已知存在自映射. v_1：\Sigma^{2（p-1）}T（m）--> T（m）.设T（m）/（v_1）是v_1的上纤，T（m）/（p^{[m/2]+2}，v_1）是的上纤。p^{[m/2]+2]}：T（m）/（v_1）--> T（m）/（v_1）。本文利用Adams-Novikov谱序列确定了L_2T（m）/（p^{[m/2]+2}，v_1）的同伦群，其中m>1.
Let T(m) be the Ravenel spectrum charaterized by the BP_*-homology as BP_*[t_1, ... ,t_m]. It is known that there is the self map .v_1:\Sigma^{2(p-1)}T(m) --> T(m). Let T(m)/(v_1) be the cofiber of v_1 and T(m)/(p^{[m/2]+2}, v_1) be the cofiber of. p^{[m/2]+2]}:T(m)/(v_1) --> T(m)/(v_1). In this paper we determined the homotopy groups of L_2T(m)/(p^{[m/2]+2}, v_1) .for m>1 by the Adams-Novikov spectral sequence.