Strip maps of small surfaces are convex
Geometric Topology
2015-06-29 v1
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.
Keywords
Cite
@article{arxiv.1506.08000,
title = {Strip maps of small surfaces are convex},
author = {François Guéritaud},
journal= {arXiv preprint arXiv:1506.08000},
year = {2015}
}
Comments
17 pages, 7 figures