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Spherical Monadic Adjunctions of Stable Infinity Categories

Spherical Monadic Adjunctions of Stable Infinity Categories

Abstract This paper concerns spherical adjunctions of stable $\infty $-categories and their relation to monadic adjunctions. We begin with a proof of the 2/4 property of spherical adjunctions in the setting of stable $\infty $-categories. The proof is based on the description of spherical adjunctions as $4$-periodic semiorthogonal decompositions given …