138 citations · 1.8k across the 93 of their papers we have counts for
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Abelian duality and propagation of resonance
Graham Denham, Alexander I. Suciu, Sergey Yuzvinsky
We explore the relationship between a certain "abelian duality" property of spaces and the propagation properties of their cohomology jump loci. To that end, we develop the analogy…
The topology of compact Lie group actions through the lens of finite models
Stefan Papadima, Alexander I. Suciu
Given a compact, connected Lie group , we use principal -bundles to construct manifolds with prescribed finite-dimensional algebraic models. Conversely, let be a compact,…
Torsion in the homology of Milnor fibers of hyperplane arrangements
Graham Denham, Alexander Suciu
As is well-known, the homology groups of the complement of a complex hyperplane arrangement are torsion-free. Nevertheless, as we showed in a recent paper [arXiv:1209.3414] the hom…
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,…
Around the tangent cone theorem
Alexander I. Suciu
A cornerstone of the theory of cohomology jump loci is the Tangent Cone theorem, which relates the behavior around the origin of the characteristic and resonance varieties of a spa…