Invariants of plane algebraic curves via representations of the braid groups

DOI10.1007/BF01394143zbMath0674.14015OpenAlexW2107434495MaRDI QIDQ1121329

Anatoly S. Libgober

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143644

zbMATH Keywords

Alexander polynomialequisingular familiesLaurant polynomialrepresentation of the braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Families, moduli of curves (algebraic) (14H10)

Related Items (9)

Homology of iterated semidirect products of free groups ⋮ A polynomial invariant for plane curve complements: Krammer polynomials ⋮ Braid monodromy and topology of plane curves ⋮ Topology of arrangements and position of singularities ⋮ Kummer covers and braid monodromy ⋮ Braids in Pau -- an introduction ⋮ Connectivity properties of factorization posets in generated groups ⋮ Effective invariants of braid monodromy ⋮ The symplectic isotopy problem for rational cuspidal curves

Cites Work

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• Alexander polynomial of plane algebraic curves and cyclic multiple planes
• On the Severi problem
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• On the homotopy of the complement to plane algebraic curves.

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