Torsion in Milnor fiber homology

DOI10.2140/agt.2003.3.511zbMath1030.32022arXivmath/0302143OpenAlexW3102355571MaRDI QIDQ1397709

Daniel C. Cohen, Alexander I. Suciu, Graham Denham

Publication date: 31 July 2003

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302143

zbMATH Keywords

torsionMilnor fiberintegral homologymulti-arrangement of hyperplanes

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Milnor fibration; relations with knot theory (32S55) Hypersurfaces and algebraic geometry (14J70) Local complex singularities (32S05) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (9)

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements ⋮ Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements ⋮ The homology groups of the Milnor fiber associated to a central arrangement of hyperplanes in \(\mathbb C^3\) ⋮ ℤ-local system cohomology of hyperplane arrangements and a Cohen–Dimca–Orlik type theorem ⋮ Characteristic varieties of quasi-projective manifolds and orbifolds ⋮ Double coverings of arrangement complements and 2-torsion in Milnor fiber homology ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Some analogs of Zariski's Theorem on nodal line arrangements ⋮ Multivariable Alexander invariants of hypersurface complements

Cites Work

• On the homology of finite abelian coverings
• Homotopy and group cohomology of arrangements
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• Homology of iterated semidirect products of free groups
• Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements
• Monodromy of fiber-type arrangements and orbit configuration spaces
• Characteristic varieties of arrangements
• On Milnor Fibrations of Arrangements
• Morse theory, Milnor fibers and minimality of hyperplane arrangements
• Geometry of cohomology support loci for local systems I
• Hall invariants, homology of subgroups, and characteristic varieties
• Triples of arrangements and local systems
• Homology of Abelian Coverings of Links and Spatial Graphs
• The Orlik-Solomon complex and Milnor fibre homology
• Translated tori in the characteristic varieties of complex hyperplane arrangements
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