Tête-à-tête twists, monodromies and representation of elements of mapping class group

DOI10.5802/aif.3459zbMath1492.14012arXiv1706.05580OpenAlexW2998167029MaRDI QIDQ2152457

María Pe Pereira, Norbert A'Campo, Pablo Portilla Cuadrado, J. Fernández de Bobadilla de Olazabal

Publication date: 8 July 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05580

zbMATH Keywords

monodromypseudo-periodic homeomorphismtête-à-tête graphs and twist

Mathematics Subject Classification ID

Plane and space curves (14H50) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) General geometric structures on low-dimensional manifolds (57M50) Germs of analytic sets, local parametrization (32B10) Singularities of curves, local rings (14H20) Local complex singularities (32S05) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (1)

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

Cites Work

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• Pseudo-periodic maps and degeneration of Riemann surfaces
• Failure of Nielsen's theorem in higher dimensions
• Mixed tête-à-tête twists as monodromies associated with holomorphic function germs
• Abbildungsklassen endlicher Ordnung
• Sur la monodromie des singularites isolees d'hypersurfaces complexes

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