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Zbl 0962.32025
A'Campo, Norbert
Real deformations and complex topology of plane curve singularities. (English)
[J] Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No.1, 5-23 (1999); erratum ibid. 8, No.2, 343 (1999). ISSN 0240-2963

Summary: We introduce a hodographic construction, which transforms a generic relative immersion of $r$ copies of the interval $[0,1]$ in the unit disk into a classical link in the three sphere with $r$ components. For instance, the construction gives the local link of the plane curve singularity if we apply it to a generic deformation with the maximal possible number of crossings of the real local parametrizations of branches of the singularity.

MSC 2000:: *32S30 Deformations of singularities (analytic spaces)
57M25 Knots and links in the 3-sphere

Keywords: monodromy; knot; link; plane curve singularity; deformation

Cited in: Zbl 1179.57015 Zbl 1131.57007 Zbl 1055.57006 Zbl 1040.57011 Zbl 1046.57004 Zbl 1013.57003 Zbl 0995.57001 Zbl 0999.57003

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