REAL ANALYTIC GERMS $f \bar{g}$ AND OPEN-BOOK DECOMPOSITIONS OF THE 3-SPHERE

DOI10.1142/S0129167X05002710zbMath1075.14033MaRDI QIDQ4658715

Anne Pichon

Publication date: 18 March 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Milnor fibrationsreal analytic map germsopen-book fibrationsplumbing links

Mathematics Subject Classification ID

Related Items (22)

New classes of mixed functions without Thom regularity ⋮ Thom property and Milnor–Lê fibration for analytic maps ⋮ Harmonic morphisms and their Milnor fibrations ⋮ Braided open book decompositions in \(S^{3}\) ⋮ On real algebraic links in the 3-sphere associated with mixed polynomials ⋮ Equivalence of real Milnor fibrations for quasi-homogeneous singularities ⋮ Thom irregularity and Milnor tube fibrations ⋮ New open-book decompositions in singularity theory ⋮ Real algebraic links in S3 and braid group actions on the set of n-adic integers ⋮ On the enhancement to the Milnor number of a class of mixed polynomials ⋮ The boundary of the Milnor fibre of complex and real analytic non-isolated singularities ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Fibred multilinks and singularities \(f\bar g\) ⋮ The topology of real suspension singularities of type \(f\bar{g}+z^n\) ⋮ Compatible contact structures of fibered positively twisted graph multilinks in the 3-sphere ⋮ Vanishing zones and the topology of non-isolated singularities ⋮ Results on Milnor fibrations for mixed polynomials with non-isolated singularities ⋮ Milnor-Hamm fibration for mixed maps ⋮ Geometrical conditions for the existence of a Milnor vector field ⋮ Resolutions of Newton non-degenerate mixed polynomials of strongly polar non-negative mixed weighted homogeneous face type ⋮ Milnor’s Fibration Theorem for Real and Complex Singularities ⋮ On the topology of real analytic maps

Cites Work

• Isolated critical points of mappings from \({\mathbb{R}}^ 4\) to \({\mathbb{R}}^ 2\) and a natural splitting of the Milnor number of a classical fibered link. I: Basic theory; examples
• Le nœud huit est algébrique réel
• Discriminant of a germ \((g,f): (\mathbb{C}^2,0)\to (\mathbb{C}^2,0)\) and contact quotients in the resolution of \(f\cdot g\)
• Über Modifikationen und exzeptionelle analytische Mengen
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Discriminant of a Germ Φ: (C² , 0)→(C² , 0) and Seifert Fibred Manifolds
• Singular Points of Complex Hypersurfaces. (AM-61)

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