The fundamental group of generic polynomials

DOI10.1016/0040-9383(91)90044-5zbMath0755.57001OpenAlexW2033958665MaRDI QIDQ1184329

Bronisław Wajnryb, Fabrizio Catanese

Publication date: 28 June 1992

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(91)90044-5

zbMATH Keywords

Artin braid groupfundamental group of the space of generic complex polynomials

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52)

Related Items (9)

Geometric combinatorics of polynomials. I: The case of a single polynomial ⋮ \(\pi_1\) of Miranda moduli spaces of elliptic surfaces ⋮ Flow box decomposition for gradients of univariate polynomials, billiards on the Riemann sphere, tree-like configurations of vanishing cycles for \(A_{n}\) curve singularities and geometric cluster monodromy ⋮ Finite Hurwitz braid group actions on sequences of Euclidean reflections. ⋮ Polynomial Lemniscates and Their Fingerprints: From Geometry to Topology ⋮ Lifting of homeomorphisms to 4-sheeted branched coverings of a disk ⋮ Finite Hurwitz braid group actions for Artin groups. ⋮ BRAID MONODROMY OF SOME BRIESKORN–PHAM SINGULARITIES ⋮ Determining the Hurwitz orbit of the standard generators of a braid group.

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