4 papers
The separator-based derivations for arrangements of monomial groups
Zixuan Wang, Weili Guo
We investigate derivation modules of hyperplane arrangements associated with the monomial groups . Motivated by Mühlherr's separator-based construction for graphic arr…
On the Falk invariant of Shi and Linial arrangements
Weili Guo, Michele Torielli
It is an open question to give a combinatorial interpretation of the Falk invariant of a hyperplane arrangement, i.e. the third rank of successive quotients in the lower central se…
Holonomy Lie algebra of a geometric lattice
Weili Guo, Ye Liu
Motivated by Kohno's result on the holonomy Lie algebra of a hyperplane arrangement, we define the holonomy Lie algebra of a finite geometric lattice in a combinatorial way. For a…
On the Falk invariant of signed graphic arrangements
Weili Guo, Michele Torielli
The fundamental group of the complement of a hyperplane arrangement in a complex vector space is an important topological invariant. The third rank of successive quotients in the l…