A combinatorial property of generic immersions of curves

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dc.creatorA'Campo, Norbert
dc.date2000-05-21
dc.date.accessioned2026-07-07T04:35:24Z
dc.date.available2026-07-07T04:35:24Z
dc.descriptionA divide is a relative generic immersion of a finite union of copies of the unit interval in the unit disk. A divide defines a classical link in the 3- sphere, which is a fibered link if the image of the immersion is connected. We prove in this paper, that the Lefschetz number of the monodromy is 0. This result was known for divides, which correspond to real morsifications of complexe plane curve singularities. The proof uses the space of gradient lines of a morse function.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0005200
dc.identifierhttp://arxiv.org/abs/math/0005200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59240
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleA combinatorial property of generic immersions of curves
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