Multiplicative structures on comodules in higher categories

2025/03/02 by Torii, Takeshi · 1 citation
#18M50 #55U40 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Primary 18N60 #Secondary 18N70

paper · doi:10.48550/arxiv.2503.01002

Abstract

In this paper we study multiplicative structures on comodules over bialgebras in the setting of ∞-categories. We show that the ∞-category of comodules over an (O,Ass)-bialgebra in a mixed (O,Ass)-duoidal ∞-category has the structure of an O-monoidal ∞-category for any ∞-operad O.

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• Fourier--Mukai equivalences for formal groups and elliptic Hochschild homology

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