Quasi-Kähler groups, 3-manifold groups, and formality

DOI10.1007/s00209-010-0664-yzbMath1228.14018arXiv0810.2158OpenAlexW2140876632MaRDI QIDQ543316

Stefan Papadima, Alexandru Dimca, Alexander I. Suciu

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2158

zbMATH Keywords

3-manifoldscharacteristic varietycohomology ringcorankquasi-Kähler manifoldisolated surface singularitiesresonance variety1-formal groupBrieskorn singularitiescut numberisotropy index

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements, Loops in Reeb graphs of \(n\)-manifolds, Co-rank and Betti number of a group, Formality and finiteness in rational homotopy theory, Poincaré duality and resonance varieties, Complements to Ample Divisors and Singularities, The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations

Cites Work

• Characteristic varieties and constructible sheaves
• Which 3-manifold groups are Kähler groups?
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• Singularities and topology of hypersurfaces
• Higgs bundles and local systems
• Real homotopy theory of Kähler manifolds
• On the intersection ring of compact three manifolds
• Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\)
• Brieskorn complete intersections and automorphic forms
• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• Obstructions to homotopy equivalences
• Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes
• On the cut number of a \(3\)-manifold
• Topology and geometry of cohomology jump loci
• Rational homotopy theory
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Alexander Polynomials: Essential Variables and Multiplicities
• Annulation du H1 et systèmes paracanoniques sur les surfaces.
• On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces
• Geometry of cohomology support loci for local systems I
• Irrational Pencils on Non-Compact Algebraic Manifolds
• Cut numbers of 3-manifolds
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• Chen Lie algebras
• The co-rank conjecture for 3-manifold groups
• First order deformations for rank one local systems with a non-vanishing cohomology
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