3 citations · 3 across the 8 of their papers we have counts for
9 papers
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…
On the K-theory of matroids with Tutte coverings
Luigi Caputi, Sabino Di Trani
The aim of this work is to explicitly compute the K-theory of the category of matroids with respect to the covering family of Tutte coverings. In particular, we show that this is e…
Multipath complexes of bidirectional polygonal digraphs
Luigi Caputi, Carlo Collari, Jason P. Smith
In this work we study the homotopy type of multipath complexes of bidirectional path graphs and polygons, motivated by works of Vrećica and Živaljević on cycle-free chessboard comp…
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…
Persistent reachability homology in machine learning applications
Luigi Caputi, Nicholas Meadows, Henri Riihimäki
We explore the recently introduced persistent reachability homology (PRH) of digraph data, i.e. data in the form of directed graphs. In particular, we study the effectiveness of PR…
Multipath matroids, digraph colourings, and the Tutte polynomial
Luigi Caputi, Carlo Collari, Sabino Di Trani
We characterise the digraphs for which the multipaths, that is disjoint unions of directed paths, yield a matroid. For such graphs, called MP-digraphs, we prove that the Tutte poly…
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…
A general Universal Coefficient Theorem, and applications
Luigi Caputi, Martino Lupini
In this paper we isolate a general Universal Coefficient Theorem in the context of abelian categories. We then apply it in the left heart of the quasi-abelian category of abelian P…