46 citations · 160 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
Shellability of posets of labeled partitions and arrangements defined by root systems
Emanuele Delucchi, Noriane Girard, Giovanni Paolini
We prove that the posets of connected components of intersections of toric and elliptic arrangements defined by root systems are EL-shellable and we compute their homotopy type. Ou…
Collapsibility to a subcomplex of a given dimension is NP-complete
Giovanni Paolini
In this paper we extend the works of Tancer and of Malgouyres and Francés, showing that -collapsibility is NP-complete for except . By -collapsibil…
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…