论文信息 - Some Secondary Differentials on the Fourth Line of the Adams Spectral Sequence

Some Secondary Differentials on the Fourth Line of the Adams Spectral Sequence

In this paper, we determine some nontrivial secondary Adams differentials on the fourth line $${\rm{Ext}}_{\cal A}^{4,*}(/p,/p)$$ of the classical Adams spectral sequence. Specially, among these differentials, two of them are obtained via the matrix Massey products.

[1] Yang Liu,et al. The classification of proper holomorphic mappings between special Hartogs triangles of different dimensions , 2008 .

[2] J. Milnor. THE STEENROD ALGEBRA AND ITS DUAL1 , 1958 .

[3] J. May. The cohomology of restricted Lie algevras and of Hopf Algebras : application to the Steenrod algebra , 1964 .

[4] J. Adams,et al. On the structure and applications of the steenrod algebra , 1958 .

[5] S. Kochman. A chain functor for bordism , 1978 .

[6] Jon P. May. Matric Massey products , 1969 .

[7] Xiangjun Wang. The secondary differentials on the third line of the Adams spectral sequence , 2009 .

[8] A. Liulevicius. The factorization of cyclic reduced powers by secondary cohomology operations , 1962 .

[9] A. Liulevicius. THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS. , 1960, Proceedings of the National Academy of Sciences of the United States of America.

[10] Xiangjun Wang,et al. A Four-filtrated may spectral sequence and its applications , 2008 .

[11] T. Aikawa. 3-dimensional cohomology of the mod $p$ Steenrod algebra. , 1980 .

[12] D. Ravenel. Complex Cobordism and Stable Homotopy Groups of Spheres , 1986 .