A combinatorial property of generic immersions of curves

Details A combinatorial property of generic immersions of curves A combinatorial property of generic immersions of curves

2000-05-21

arxiv.org/abs/math/0005200v1

Mathematics

Algebraic Geometry

5 pages, 3 figures

Scientific paper

A 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.

Affiliated with

Also associated with

No associations

Rating

A combinatorial property of generic immersions of curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A combinatorial property of generic immersions of curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A combinatorial property of generic immersions of curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91372