Alexander invariants of complex hyperplane arrangements

DOI10.1090/S0002-9947-99-02206-0zbMath0945.20024arXivalg-geom/9703030OpenAlexW3102149579MaRDI QIDQ4257573

Daniel C. Cohen, Alexander I. Suciu

Publication date: 31 August 1999

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9703030

zbMATH Keywords

presentationsfundamental groupspure braid groupsAlexander invariantsChen groupsGassner representationbraid monodromy homomorphisms

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Coverings of curves, fundamental group (14H30) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (10)

Lower central series and free resolutions of hyperplane arrangements ⋮ Boundary manifolds of projective hypersurfaces ⋮ Pure virtual braids, resonance, and formality ⋮ Chen ranks and resonance ⋮ Nets in \(\mathbb{P}^2\) and Alexander duality ⋮ Homology, lower central series, and hyperplane arrangements ⋮ Translated tori in the characteristic varieties of complex hyperplane arrangements ⋮ Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence ⋮ Efficient computation of resonance varieties via Grassmannians ⋮ Multivariable Alexander invariants of hypersurface complements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free differential calculus. III: Subgroups
• Complexified real arrangements of hyperplanes
• On a conjecture of K. Murasugi
• The lower central series of a fiber-type arrangement
• Completion of link modules
• The determinantal ideals of link modules. I
• Alexander stratifications of character varieties
• Homotopy and group cohomology of arrangements
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• The derived module of a homomorphism
• Integration in free groups
• The Minimal Model of the Complement of an Arrangement of Hyperplanes
• On the homotopy of the complement to plane algebraic curves.
• Koszul Algebras from Graphs and Hyperplane Arrangements
• Un théorème de Zariski du type de Lefschetz
• On Milnor's Invariant for Links. II. The Chen Group

This page was built for publication: Alexander invariants of complex hyperplane arrangements