1 citations · 1 across the 7 of their papers we have counts for
11 papers
Groups associated to 1-minimal models for binomial -algebras
Richard D. Porter, Alexander I. Suciu
We give an explicit, cochain-level algebraic model for the pronilpotent completion of a group with finitely generated first cohomology. To each binomial -dga over…
Highly connected non-formal Milnor fibers via polyhedral products
Alexander I. Suciu
We show that the realization theorem of Fernández de Bobadilla, which identifies the Milnor fiber of a weighted-homogeneous polynomial with the complement of a germ of analytic set…
Twisted homology jump loci, twisted Alexander polynomials, and -invariants
Yongqiang Liu, Alexander I. Suciu
We introduce the twisted homology jump loci of a space : the jump loci for homology with coefficients in rank-one local systems, twisted by a fixed finite-dimensional representa…
Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
Alexander I. Suciu
We develop a Koszul-theoretic framework for comparing classical Alexander-type invariants with infinitesimal invariants arising from finite-type commutative differential graded alg…
Lower central series and split extensions
Jacques Darné, Alexander I. Suciu
Following Lazard, we study the -series of a group and their associated graded Lie algebras. The main examples we consider are the lower central series (LCS), Stallings' rati…
Hyperplane arrangements with non-formal Milnor fibers
Alexander I. Suciu
Each complex hyperplane arrangement gives rise to a Milnor fibration of its complement. Building on work of Zuber, we give a combinatorial sufficient condition for th…