Mathematics – Geometric Topology
Scientific paper
1998-01-06
Mathematics
Geometric Topology
42 pages, 29 figures
Scientific paper
Given a compact orientable surface $\Sigma$, let $\Cal S(\Sigma)$ be the set of isotopy classes of essential simple loops on $\Sigma$. We determine a complete set of relations for a function from $\Cal S(\Sigma)$ to $\bold Z$ to be a geometric intersection number function. As a consequence, we obtain explicit equations in $\bold R^{\Cal S(\Sigma)}$ and $P(\bold R^{\Cal S(\Sigma)})$ defining Thurston's space of measured laminations and Thurston's compactification of the Teichm\"uller space. These equations are not only piecewise integral linear but also semi-real algebraic.
No associations
LandOfFree
Simple Loops on Surfaces and Their Intersection Numbers 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 Simple Loops on Surfaces and Their Intersection Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple Loops on Surfaces and Their Intersection Numbers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-536309