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math.AT2024
Extending Adams' theorem from singly generated to periodic cohomology
John R. Harper, Lee Kennard
In 1960, J.F. Adams introduced secondary cohomology operations that are defined on cohomology elements on which sufficiently many Steenrod algebra elements vanish. This led to his…
math.AT2021
Halperin's conjecture in formal dimensions up to 20
Lee Kennard, Yantao Wu
A 1976 conjecture of Halperin on positively elliptic spaces was recently confirmed in formal dimensions up to 16. In this article, we shorten the proof and extend the result up to…