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math.DG2026
Finite semisimplicial sets, differential graded algebras, and cellular sheaves
Jan-Willem Van Looy, Ferdinando Zanchetta
We develop a differential graded model for finite non-singular semisimplicial sets and their cellular sheaves. To a finite non-singular semisimplicial set \(S\), we associate an ex…
math.DG2026
Sheaves on Graphs and their Differential Calculi
Rita Fioresi, Angelica Simonetti, Ferdinando Zanchetta
In this paper we explore the link between the theory of sheaves on graphs and noncommutative geometry showing that many concepts and constructions in the latter can be generalized…