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math.AG2025
Higher Koszul duality and -affineness
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
In this paper we study -Koszul duality in the topological setting, and the closely related question of \emph{-affineness} for Betti stacks. The -Kosz…
math.AT2025
Higher local systems and the categorified monodromy equivalence
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
We study local systems of -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if is -conne…