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

Xiangjun Wang; Yu Zhang

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arXiv · 2305.12630

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

Xiangjun Wang·Yu Zhang

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Abstract

This paper studies the higher differentials of the classical Adams spectral sequence at odd primes. In particular, we follow the ``cofiber of $\tau$ 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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Xiangjun Wang, Yu Zhang. 2023-05-22. A correspondence between higher Adams differentials and higher algebraic Novikov differentials at odd primes. https://arxiv.org/abs/2305.12630

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