Generic immersions of curves, knots, monodry and Gordian number
Norbert A'Campo (1998)
Publications Mathématiques de l'IHÉS
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Norbert A'Campo (1998)
Publications Mathématiques de l'IHÉS
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Cam Van Quach Hongler, Claude Weber (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Anne Pichon, José Seade (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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G. Angermüller, W. Barth (1982)
Compositio Mathematica
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Victor Goryunov, Gabor Lippner (2008)
Banach Center Publications
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We obtain a complete list of simple framed curve singularities in ℂ² and ℂ³ up to the framed equivalence. We also find all the adjacencies between simple framed curves.
David B. Massey, Dirk Siersma (1992)
Annales de l'institut Fourier
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We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.
Neumann, Walter D., Wahl, Jonathan (2005)
Geometry & Topology
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Liang Chen (2016)
Open Mathematics
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In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Gérard Gonzalez-Sprinberg, Monique Lejeune-Jalabert (1997)
Annales Polonici Mathematici
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Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth...