Lipschitz Geometry Does not Determine Embedded Topological Type

DOI10.1007/978-3-319-39339-1_11zbMath1426.14003arXiv1506.03841OpenAlexW574020037MaRDI QIDQ4973337

Anne Pichon, Walter D. Neumann

Publication date: 3 December 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03841

zbMATH Keywords

bilipschitzLipschitz geometryembedded topological typecomplex surface singularitysuperisolated

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Topology of real algebraic varieties (14P25) Local complex singularities (32S05)

Related Items (4)

Lipschitz Normal Embedding Among Superisolated Singularities ⋮ On the extension of bi-Lipschitz mappings ⋮ Surface singularities in \(\mathbb{R}^4\) : first steps towards Lipschitz knot theory ⋮ On Milnor’s fibration theorem and its offspring after 50 years

Uses Software

• planebranches.mws

Cites Work

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• Alexander polynomial of plane algebraic curves and cyclic multiple planes
• Analytic classification of plane branches up to multiplicity 4
• Topological equivalence of complex curves and bi-lipschitz homeomorphisms
• The thick-thin decomposition and the bilipschitz classification of normal surface singularities
• Lipschitz geometry of complex curves
• Minimal surface singularities are Lipschitz normally embedded
• Courbes polaires et topologie des courbes planes
• Forme de Jordan de la monodromie des singularités superisolées de surfaces
• The Topological Discriminant Group of a Riemann Surface of Genus p

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