Communications in Analysis and Geometry
Volume 12 (2004)
Dehn-Thurston Coordinates for Curves on Surfaces
Pages: 1 – 41
We prove that the geometric intersection numbers between two proper 1-dimensional submanifolds satisfy a Cauchy type inequality expressed in terms of the Dehn-Thurston coordinate. As an application, we reestablish the fundamental results in the theory of measured laminations on surfaces.