138 citations · 1.8k across the 93 of their papers we have counts for
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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…
Geometric and algebraic aspects of 1-formality
Stefan Papadima, Alexandru I. Suciu
Formality is a topological property, defined in terms of Sullivan's model for a space. In the simply-connected setting, a space is formal if its rational homotopy type is determine…
Topology and geometry of cohomology jump loci
Alexandru Dimca, Stefan Papadima, Alexander I. Suciu
We elucidate the key role played by formality in the theory of characteristic and resonance varieties. We define relative characteristic and resonance varieties, V_k and R_k, relat…
Algebraic monodromy and obstructions to formality
Stefan Papadima, Alexander I. Suciu
Given a fibration over the circle, we relate the eigenspace decomposition of the algebraic monodromy, the homological finiteness properties of the fiber, and the formality properti…