Finite height lamination spaces for surfaces

Abstract

We describe spaces of essential finite height (measured) laminations in a surface $S$ using a parameter space we call $\mathbb{S}$, an ordered semi-ring. We show that for every finite height essential lamination $L$ in $S$, there is an action of ${\pi }_1(S)$ on an $\mathbb{S}$-tree dual to the lift of $L$ to the universal cover of $S$.

References in corpus (1)

• Measured lamination spaces for surface pairs