Topological Designs

Details Topological Designs Topological Designs

2010-08-22

arxiv.org/abs/1008.3710v2

Mathematics

Geometric Topology

New version adds more references and a sharp result for genus 2

Scientific paper

Benson Farb and Chris Leininger had asked how many pairwise non-isotopic simple closed curves can be placed on a surface of genus g in such a way that any two of the curves intersect at most once. In this note we use combinatorial methods to give bounds (a lower bound of (g+1)g curves, and an exponential upper bound). While the bounds for the general Farb/Leininger question are (conjecturally) weak, the results presented here are of independent interest.

Affiliated with

Also associated with

No associations

Rating

Topological Designs 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 Topological Designs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Designs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165918