Geometric and algebraic aspects of 1-formality

zbMath1199.55010arXiv0903.2307MaRDI QIDQ3652493

Stefan Papadima, Alexander I. Suciu

Publication date: 17 December 2009

Full work available at URL: https://arxiv.org/abs/0903.2307

zbMATH Keywords

monodromyKähler manifoldfundamental groupformalityfibrationlower central serieshyperplane arrangementMilnor fiberArtin groupBieri-Neumann-Strebel invariantpencilMalcev completionholonomy Lie algebraBestvina-Brady groupcohomology jumping lociquasi-Kähler maifold

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (15)

Topological invariants of groups and Koszul modules ⋮ Chen ranks and resonance ⋮ Formality and finiteness in rational homotopy theory ⋮ Around the Tangent Cone Theorem ⋮ Homology, lower central series, and hyperplane arrangements ⋮ Taylor expansions of groups and filtered-formality ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Twisted monodromy homomorphisms and Massey products ⋮ Cup products, lower central series, and holonomy Lie algebras ⋮ A family of compact complex and symplectic Calabi-Yau manifolds that are non-Kähler ⋮ A criterion for quadraticity of a representation of the fundamental group of an algebraic variety ⋮ Massey products in mapping tori ⋮ Cohomology jump loci of 3-manifolds ⋮ Formality properties of finitely generated groups and Lie algebras ⋮ Chen ranks and resonance varieties of the upper McCool groups

This page was built for publication: Geometric and algebraic aspects of 1-formality