26 citations · 70 across the 7 of their papers we have counts for
7 papers
Taylor expansions of groups and filtered-formality
Alexander I. Suciu, He Wang
Let be a finitely generated group, and let be its group algebra over a field of characteristic . A Taylor expansion is a certain type of map from to the degre…
Chen ranks and resonance varieties of the upper McCool groups
Alexander I. Suciu, He Wang
The group of basis-conjugating automorphisms of the free group of rank , also known as the McCool group or the welded braid group , contains a much-studied subgroup, calle…
Cup products, lower central series, and holonomy Lie algebras
Alexander I. Suciu, He Wang
We generalize basic results relating the associated graded Lie algebra and the holonomy Lie algebra from finitely presented, commutator-relators groups to arbitrary finitely presen…
The pure braid groups and their relatives
Alexander I. Suciu, He Wang
In this mostly survey paper, we investigate the resonance varieties, the lower central series ranks, and the Chen ranks, as well as the residual and formality properties of several…
Pure virtual braids, resonance, and formality
Alexander I. Suciu, He Wang
We investigate the resonance varieties, lower central series ranks, and Chen ranks of the pure virtual braid groups and their upper-triangular subgroups. As an application, we give…
Formality properties of finitely generated groups and Lie algebras
Alexander I. Suciu, He Wang
We explore the graded and filtered formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups,…
On a spectral sequence for twisted cohomologies
Weiping Li, Xiugui Liu, He Wang
Let () be the de Rham cochain complex for a smooth compact closed manifolds of dimension . For an odd-degree closed form , there are a twisted de Rham coc…