Simple Loops on Surfaces and Their Intersection Numbers
| dc.creator | Luo, Feng | |
| dc.date | 1998-01-06 | |
| dc.date.accessioned | 2026-07-07T05:23:30Z | |
| dc.date.available | 2026-07-07T05:23:30Z | |
| dc.description | Given a compact orientable surface $Σ$, let $\Cal S(Σ)$ be the set of isotopy classes of essential simple loops on $Σ$. We determine a complete set of relations for a function from $\Cal S(Σ)$ to $\bold Z$ to be a geometric intersection number function. As a consequence, we obtain explicit equations in $\bold R^{\Cal S(Σ)}$ and $P(\bold R^{\Cal S(Σ)})$ defining Thurston's space of measured laminations and Thurston's compactification of the Teichmüller space. These equations are not only piecewise integral linear but also semi-real algebraic. | |
| dc.description | 42 pages, 29 figures | |
| dc.identifier | https://arxiv.org/abs/math/9801018 | |
| dc.identifier | http://arxiv.org/abs/math/9801018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76460 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57 | |
| dc.title | Simple Loops on Surfaces and Their Intersection Numbers | |
| dc.type | text |