Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658296 | Topology and its Applications | 2015 | 4 Pages |
Abstract
We establish a differential d2(D1)=h02h3g2 in the 51-stem of the Adams spectral sequence at the prime 2, which gives the first correct calculation of the stable 51 and 52 stems. This differential is remarkable since we know of no way to prove it without recourse to the motivic Adams spectral sequence. It is the last undetermined differential in the range of the first author's detailed calculations of the n -stems for n<60n<60[6]. This note advertises the use of the motivic Adams spectral sequence to obtain information about classical stable homotopy groups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Daniel C. Isaksen, Zhouli Xu,