Author

Sanath K. Devalapurkar

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Preprint Oct 2026

Ramification in $\mathbf{E}_{n}$-algebras

We study $\mathbf{E}_n$-algebras with ramification in their $\pi_0$ and in particular show that the existence of ramification places strong limitations on their chromatic behavior. In particular, we show that $\pi_0$ of nonzero $K(1)$-local $\mathbf{E}_4$-$\mathrm{KU}$-algebras cannot have a map from the ring of intege...

Sanath K. Devalapurkar, Ishan Levy · 0 citations