Geometric monodromy groups of simple singularities

DOI10.1007/BF01445249zbMath0863.32013MaRDI QIDQ1817303

J. P. Vannier, Bernard Perron

Publication date: 14 January 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165452

zbMATH Keywords

representationmonodromy groupsimple singularities

Mathematics Subject Classification ID

Milnor fibration; relations with knot theory (32S55) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (19)

Bouquets of curves in surfaces ⋮ On Representations of Braids as Automorphisms of Free Groups and Corresponding Linear Representations ⋮ An action of subgroups of mapping class groups on polynomial algebras ⋮ Right‐angled Artin subgroups of Artin groups ⋮ Families of superelliptic curves, complex braid groups and generalized Dehn twists ⋮ Curves intersecting in a circuit pattern ⋮ Presentations for the punctured mapping class groups in terms of Artin groups ⋮ Finite Hurwitz braid group actions for Artin groups. ⋮ Homomorphic extensions of Johnson homomorphims via Fox calculus. ⋮ Mapping class group and the Casson invariant. ⋮ Contractible stability spaces and faithful braid group actions ⋮ Actions of the Braid Group, and New Algebraic Proofs of Results of Dehornoy and Larue ⋮ On representations of Artin–Tits and surface braid groups ⋮ Vanishing cycles, plane curve singularities and framed mapping class groups ⋮ The braid group for a quiver with superpotential ⋮ Generating the spin mapping class group by Dehn twists ⋮ The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups ⋮ Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities ⋮ Congruence subgroups of braid groups

Cites Work

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• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Artin-Gruppen und Coxeter-Gruppen
• Singular Points of Complex Hypersurfaces. (AM-61)

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