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New York Journal of Mathematics
Volume 29 (2023), 687-707

  

Xiangjun Wang, Yaxing Wang, and Yu Zhang

Some nontrivial secondary adams differentials on the fourth line

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Published: May 13, 2023.
Keywords: Stable homotopy of spheres, Adams spectral sequences, algebraic Novikov spectral sequences.
Subject [2010]: 55Q45, 55T15, 55T25.

Abstract
Let p >= 5 be an odd prime. Using the correspondence between secondary Adams differentials and secondary algebraic Novikov differentials, we compute four families of nontrivial secondary differentials on the fourth line of the Adams spectral sequence. We also recover all secondary differentials on the first three lines of the Adams spectral sequence.

Acknowledgements

The authors are supported by the National Natural Science Foundation of China (No. 12271183). The third named author is also supported by the National Natural Science Foundation of China (No. 12001474; 12261091).


Author information

Xiangjun Wang
Department of Mathematics
Nankai University
No.94 Weijin Road
Tianjin 300071, China

xjwang@nankai.edu.cn

Yaxing Wang
Department of Mathematics
Nankai University
No.94 Weijin Road
Tianjin 300071, China

yxwangmath@163.com

Yu Zhang
Department of Mathematics
Nankai University
No.94 Weijin Road
Tianjin 300071, China

zhang.4841@buckeyemail.osu.edu