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math.AT2026
Presheaf structures governed by oriented matroids and pseudohyperplane arrangements
Basile Coron, Denis Lyskov
We study higher complements of pseudohyperplane arrangements and the specialization maps between them, induced by degenerations. We develop a presheaf formalism on oriented matroid…
math.AT2025
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 , where…
math.AT2023
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…