Cohomology jump loci of differential graded Lie algebras

DOI10.1112/S0010437X14007970zbMath1348.14026arXiv1309.2264OpenAlexW2049322535MaRDI QIDQ2947354

Nero Budur, Botong Wang

Publication date: 22 September 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2264

zbMATH Keywords

vector bundlesdeformation theorylocal systemsHiggs bundlesdifferential graded Lie algebrascohomology jump locirepresentations of fundamental groups

Mathematics Subject Classification ID

Homotopy theory and fundamental groups in algebraic geometry (14F35) Formal methods and deformations in algebraic geometry (14D15) Deformations of fiber bundles (32G08)

Related Items

Rational Singularities, Quiver Moment Maps, and Representations of Surface Groups, The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties, Mellin transformation, propagation, and abelian duality spaces, Abelian duality and propagation of resonance, Naturality properties and comparison results for topological and infinitesimal embedded jump loci, Generic vanishing, 1-forms, and topology of Albanese maps, Around the Tangent Cone Theorem, Generic vanishing for semi-abelian varieties and integral Alexander modules, Perverse sheaves on semi-abelian varieties, RANK TWO TOPOLOGICAL AND INFINITESIMAL EMBEDDED JUMP LOCI OF QUASI-PROJECTIVE MANIFOLDS, Cohomology jump loci of 3-manifolds, L-infinity pairs and applications to singularities, Infinitesimal finiteness obstructions, Cohomology jump loci and absolute sets for singular varieties

Cites Work

• Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves
• Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds
• Unifying derived deformation theories
• Moduli spaces of simple bundles and Hermitian-Einstein connections
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• Higgs bundles and local systems
• Real homotopy theory of Kähler manifolds
• Cohomology of local systems on the complement of hyperplanes
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Local structure of Brill-Noether strata in the moduli space of flat stable bundles
• Topology and geometry of cohomology jump loci
• Complements and higher resonance varieties of hyperplane arrangements
• On the solutions of analytic equations
• Algebraic approximation of structures over complete local rings
• GENERIC VANISHING THEORY VIA MIXED HODGE MODULES
• INFINITESIMAL DEFORMATIONS OF HITCHIN PAIRS AND HITCHIN MAP
• Hyperplane arrangement cohomology and monomials in the exterior algebra
• On the existence of hermitian-yang-mills connections in stable vector bundles
• The deformation theory of representations of fundamental groups of compact Kähler manifolds