46 citations · 160 across the 23 of their papers we have counts for
4 papers · 1 filter
Euclidean matchings and minimality of hyperplane arrangements
Davide Lofano, Giovanni Paolini
We construct a new class of maximal acyclic matchings on the Salvetti complex of a locally finite hyperplane arrangement. Using discrete Morse theory, we then obtain an explicit pr…
On the local homology of Artin groups of finite and affine type
Giovanni Paolini
We study the local homology of Artin groups using weighted discrete Morse theory. In all finite and affine cases, we are able to construct Morse matchings of a special type (we cal…
Weighted sheaves and homology of Artin groups
Giovanni Paolini, Mario Salvetti
In this paper we expand the theory of weighted sheaves over posets, and use it to study the local homology of Artin groups. First, we use such theory to relate the homology of clas…
On the classifying space of Artin monoids
Giovanni Paolini
A theorem proved by Dobrinskaya in 2006 shows that there is a strong connection between the conjecture for Artin groups and the classifying space of Artin monoids. More re…