4 papers · 1 filter
Stable homology of complex braid groups
Andrea Bianchi, Filippo Callegaro, Luigi Caputi +1
We compute the stable homology of complex braid groups of types and for fixed and increasing . This accounts for the stable homology of all infini…
Diagrammatic Hochschild cohomology via cohomology of categories, and incidence algebras
Luigi Caputi, Francesco Vaccarino
In this paper, we study the Hochschild cohomology of diagrams of algebras introduced by Gerstenhaber and Schack and provide computations for filtrations of incidence algebras. Our…
Bridging between überhomology and double homology
Luigi Caputi, Daniele Celoria, Carlo Collari
We establish an isomorphism between the 0-degree überhomology and the double homology of finite simplicial complexes, using a Mayer-Vietoris spectral sequence argument. We clarify…
The weak categorical quiver minor theorem and its applications: matchings, multipaths, and magnitude cohomology
Luigi Caputi, Carlo Collari, Eric Ramos
Building upon previous works of Proudfoot and Ramos, and using the categorical framework of Sam and Snowden, we extend the weak categorical minor theorem from undirected graphs to…