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math.AT2026
Graphical configuration spaces, Contractads and Formality
Anton Khoroshkin, Denis Lyskov
Given a finite simple connected graph , the graphical configuration space is the space of collections of points in indexed by the vertices of , wh…
math.AT2024
A generalization of operads based on subgraph contractions
Denis Lyskov
We introduce a generalization of the notion of operad that we call a contractad, whose set of operations is indexed by connected graphs and whose composition rules are numbered by…