Some nontrivial secondary Adams differentials on the fourth line

Abstract

Let $p\ge 5$ 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.

21 pages, revised based on the suggestions of the referees. Accepted version, to appear in the New York Journal of Mathematics