A correspondence between higher Adams differentials and higher algebraic Novikov differentials at odd primes

2023/05/22 by Xiangjun Wang, Yu Zhang, Wang, Xiangjun +1
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2305.12630

openalex publication_date 2023/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies the higher differentials of the classical Adams spectral sequence at odd primes. In particular, we follow the ``cofiber of τ philosophy'' of Gheorghe, Isaksen, Wang, and Xu to show that higher Adams differentials agree with their corresponding higher algebraic Novikov differentials in a certain range.

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