46 citations · 160 across the 23 of their papers we have counts for
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math.AT2017★ 1 cited
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…
math.AT2017★ 15 cited
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…