138 citations · 1.8k across the 93 of their papers we have counts for
9 papers · 1 filter
Cohomology jump loci of 3-manifolds
Alexander I. Suciu
The cohomology jump loci of a space are of two basic types: the characteristic varieties, defined in terms of homology with coefficients in rank one local systems, and the reso…
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…
Kaehler groups, quasi-projective groups, and 3-manifold groups
Stefan Friedl, Alexander Suciu
We prove two results relating 3-manifold groups to fundamental groups occurring in complex geometry. Let N be a compact, connected, orientable 3-manifold. If N has non-empty, toroi…
Homological finiteness of abelian covers
Alexander I. Suciu, Yaping Yang, Gufang Zhao
We present a method for deciding when a regular abelian cover of a finite CW-complex has finite Betti numbers. To start with, we describe a natural parameter space for all regular…
Fundamental groups, Alexander invariants, and cohomology jumping loci
Alexander I. Suciu
We survey the cohomology jumping loci and the Alexander-type invariants associated to a space, or to its fundamental group. Though most of the material is expository, we provide ne…
The boundary manifold of a complex line arrangement
Daniel C Cohen, Alexander I Suciu
We study the topology of the boundary manifold of a line arrangement in CP^2, with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynom…