2 papers
math.CO2021
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…
math.AG2017
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…