Abstract
The strip map is a natural map from the arc complex of a bordered hyperbolic surface $S$ to the vector space of infinitesimal deformations of $S$. We prove that the image of the strip map is a convex hypersurface when $S$ is a surface of small complexity: the punctured torus or thrice punctured sphere.
Citation
François Guéritaud. "Strip maps of small surfaces are convex." Illinois J. Math. 60 (1) 19 - 37, Spring 2016. https://doi.org/10.1215/ijm/1498032022
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