Strip maps of small surfaces are convex
arXiv:1506.08000
Abstract
The strip map is a natural map from the arc complex of a bordered hyperbolic surface to the vector space of infinitesimal deformations of . We prove that the image of the strip map is a convex hypersurface when is a surface of small complexity: the punctured torus or thrice punctured sphere.
17 pages, 7 figures