A new family of filtration S+5 in the stable homotopy groups of spheres

作者：Wang Yuyu^*

来源：Acta Mathematica Scientia, 2008, 28(2): 321-332.

• stable homotopy of spheres
• Adams spectral sequence
• cofiberation
• May spectral sequence

In this article, by the algebraic method, the author proves the existence of a new nontrivial family of filtration 8 + 5 in the stable homotopy groups of spheres pi S-r, which is represented by 0 not equal (r) over tilde (s+3)h(n)h(m) is an element of Ext(A)(s+5)' (t)(Z(p), Z(p)) in the Adams spectral sequence, where r = q (p(m) + p(n) + (s + 3)p(2) + (s + 2)p + (s + 1)) -5, t = p(m)q +p(n) q + (s + 3)p(2) q + (s + 2)pq + (s + 1)q + s,p >= 7, m >= n + 2 > 5, 0 <= s < p - 3, q = 2(p - 1).

• 出版日期2008-4
• 单位天津师范大学