稳定同伦群π_(2n)~s(Mξ(n,d)∧MBO<n+>)挠元的计算

Computation of Torsion Elements of Stable Homotopy Group π_(2n)~s(Mξ(n,d)∧MBO<n+>)

本文利用代数拓扑中的Adams谱序列、Thom谱以及B-配边理论等知识给出高维稳定同伦群π_(2n)~s(Mξ(n,d)∧MBO<n+>)挠元的计算,进而得出同伦群π_(2n)~s(Mξ(n,d)∧MBO<n+>)的值。

In this paper, we use the knowledge of algebraic topology such as Adams spectral sequence, Thom spectrum and B-bordism theory to give the computation of torsion elements of higher homotopy group π2ns（Mξ（n,d）∧MBO〈n＋〉） . And so we get the value ofπ2ns（Mξ（n,d）∧MBO〈n＋〉）.