The spectral sequence of an equivariant chain complex and homology with local coefficients

DOI10.1090/S0002-9947-09-05041-7zbMath1195.55005arXiv0708.4262OpenAlexW2070795417MaRDI QIDQ3559037

Stefan Papadima, Alexander I. Suciu

Publication date: 11 May 2010

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

Full work available at URL: https://arxiv.org/abs/0708.4262

zbMATH Keywords

spectral sequenceBetti numberstwisted homologyAomoto complex\(I\)-adic filtrationequivariant chain complexminimal cell complex

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Spectral sequences in algebraic topology (55T99) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (22)

Homology graph of real arrangements and monodromy of Milnor fiber ⋮ Multiplicativity and nonrealizable equivariant chain complexes ⋮ Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality ⋮ Vanishing results for the cohomology of complex toric hyperplane complements ⋮ Combinatorial Stratifications and Minimality of Two-Arrangements ⋮ Abelian duality and propagation of resonance ⋮ Cohomology, Bocksteins, and resonance varieties in characteristic 2 ⋮ Integral homology groups of double coverings and rank one ℤ-local systems for a minimal CW complex ⋮ Double coverings of arrangement complements and 2-torsion in Milnor fiber homology ⋮ Cup products, lower central series, and holonomy Lie algebras ⋮ Modular equalities for complex reflection arrangements ⋮ Novikov homology, jump loci and Massey products ⋮ Toric complexes and Artin kernels ⋮ Tait colorings, and an instanton homology for webs and foams ⋮ Algebraic monodromy and obstructions to formality ⋮ On the monodromy action on Milnor fibers of graphic arrangements ⋮ The chamber basis of the Orlik-Solomon algebra and Aomoto complex ⋮ Chen ranks and resonance varieties of the upper McCool groups ⋮ Resonant bands, Aomoto complex, and real 4-nets ⋮ A Levine-Tristram invariant for knotted tori ⋮ Degeneration of Orlik-Solomon algebras and Milnor fibers of complex line arrangements ⋮ Non-abelian cohomology jump loci from an analytic viewpoint

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