Flat connections and resonance varieties: From rank one to higher ranks

DOI10.1090/tran/6799zbMath1352.55004arXiv1312.1439OpenAlexW3104602994MaRDI QIDQ2833021

Stefan Papadima, Clement Radu Popescu, Anca Daniela Mačinic, Alexander I. Suciu

Publication date: 16 November 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1439

zbMATH Keywords

Lie algebradifferential graded algebraflat connectioncharacteristic varietyArtin groupresonance varietyquasi-projective manifold

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Braid groups; Artin groups (20F36) Homological methods in group theory (20J05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (9)

Rank two jump loci for solvmanifolds and Lie algebras ⋮ Naturality properties and comparison results for topological and infinitesimal embedded jump loci ⋮ Cohomology, Bocksteins, and resonance varieties in characteristic 2 ⋮ Formality and finiteness in rational homotopy theory ⋮ Around the Tangent Cone Theorem ⋮ Mini-workshop: Interactions between low-dimensional topology and complex algebraic geometry. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ RANK TWO TOPOLOGICAL AND INFINITESIMAL EMBEDDED JUMP LOCI OF QUASI-PROJECTIVE MANIFOLDS ⋮ Cohomology jump loci of 3-manifolds ⋮ Infinitesimal finiteness obstructions

Cites Work

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• Jump loci in the equivariant spectral sequence
• Vanishing resonance and representations of Lie algebras
• Algebraic invariants for right-angled Artin groups.
• Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\)
• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• \(p\)-universal spaces and rational homotopy types
• On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
• Topology and geometry of cohomology jump loci
• Rational homotopy theory
• Non-abelian cohomology jump loci from an analytic viewpoint
• Characteristic Varieties and Betti Numbers of Free Abelian Covers
• Non-Abelian Resonance: Product and Coproduct Formulas
• On the classification of rank-two representations of quasiprojective fundamental groups
• Bieri-Neumann-Strebel-Renz invariants and homology jumping loci
• Geometry of cohomology support loci for local systems I
• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• Introduction to Lie Algebras and Representation Theory
• Cohomology Theory of Lie Groups and Lie Algebras
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• First order deformations for rank one local systems with a non-vanishing cohomology

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