Titlebook: Introduction to Lipschitz Geometry of Singularities; Lecture Notes of the Walter Neumann,Anne Pichon Book 2020 The Editor(s) (if applicable

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Assault

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,Geometric Viewpoint of Milnor’s Fibration Theorem,s, emphasizing the ideas of differential topology involved. We also describe the monodromy of the Milnor fibration of a complex analytic function of two variables with isolated singularity, as a quasi-periodic diffeomorphism using a resolution of the singularity.

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3-Manifolds and Links of Singularities,. discuss Lipschitz geometry, but it provides many examples of isolated complex surface singularities on which one can work to find their Lipschitz geometry (e.g., thick-thin decompositions and inner and/or outer bilipschitz classifications).

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Basics on Lipschitz Geometry,c sets and mappings and basic notions of Lipschitz geometry. The course then focuses on the real setting, presenting the outer Lipschitz classification of semialgebraic curves, the inner classification of semialgebraic surfaces, the bi- Lipschitz invariance of the tangent cone, and ending with a pre

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An Introduction to Lipschitz Geometry of Complex Singularities,plete classification of Lipschitz geometry of complex plane curves singularities and in particular, it introduces the so-called bubble trick, which is a key tool to study Lipschitz geometry of germs. It describes also the thick-thin decomposition of a normal complex surface singularity and built two

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