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New Families in the Stable Homotopy of Spheres Revisited
Authors:Email author" target="_blank">Jin?Kun?LinEmail author
Institution:(1) Department of Mathematics, Nankai University, Tianjin, 300071, P. R. China E-mail: jklin@nankai.edu.cn, CN
Abstract:This paper constructs a new family in the stable homotopy of spheres π t −6 S represented by h n g 0γ3E 6 t 2 in the Adams spectral sequence which revisits the b n −1 g 0γ3-elements ∈π t −7 S constructed in 3], where t = 2p n (p− 1) + 6(p 2 + p + 1)(p− 1) and p≥ 7 is a prime, n≥ 4. Received October 7, 1998, Revised May 8, 2000, Accepted August 8, 2000.
Keywords:Stable homotopy of spheres  Adams spectral sequence  Toda-Smith spectrum  Adams resolution
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