Luigi Caputi

collaborators

Showing math.ATShow all

3 papers · 1 filter

math.AT2026

Stable homology of complex braid groups

Andrea Bianchi, Filippo Callegaro, Luigi Caputi +1

We compute the stable homology of complex braid groups of types $B (e, e, n)$ and $B (2 e, e, n)$ for fixed $e \geq 2$ and increasing $n$ . This accounts for the stable homology of all infini…

math.AT2025

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…

math.AT2025

Bridging between Ã¼berhomology and double homology

Luigi Caputi, Daniele Celoria, Carlo Collari

We establish an isomorphism between the 0-degree Ã¼berhomology and the double homology of finite simplicial complexes, using a Mayer-Vietoris spectral sequence argument. We clarify…