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arXiv · 2412.01640

The descent spectral sequence for topological modular forms

Christian Carrick·Jack Morgan Davies·Sven van Nigtevecht
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Abstract

We prove the Gap Theorem for the spectrum of topological modular forms $\mathrm{Tmf}$. This removes a longstanding circularity in the literature, thereby confirming the computation of $\pi_\ast \mathrm{tmf}$ from over two decades ago by Hopkins and Mahowald. Our approach is crucially a modern one, developing and refining many techniques in synthetic spectra.

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Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht. 2024-12-02. The descent spectral sequence for topological modular forms. https://arxiv.org/abs/2412.01640

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