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math.AT2022
André-Quillen Cohomology and -invariants of simplicial categories
David Blanc, Nicholas Meadows
Using the Harpaz-Nuiten-Prasma interpretation of the Dwyer-Kan-Smith cohomology of a simplicial category , we obtain a cochain complex for the André-Quillen cohomology…
math.AT2022
Localization of -categories and spectral sequences
David Blanc, Nicholas Meadows
We describe two types of localization for -categories which determine the successive terms in the homotopy spectral sequence of a (co)simplicial object.