3 papers
math.GT2007
Slicing, skinning, and grafting
David Dumas, Richard P. Kent
We prove that a Bers slice is never algebraic, meaning that its Zariski closure in the character variety has strictly larger dimension. A corollary is that skinning maps are never…
math.GT2006
Distribution of intersection lengths of a random geodesic with a geodesic lamination
Martin Bridgeman, David Dumas
We investigate the distribution of lengths obtained by intersecting a random geodesic with a geodesic lamination. We give an explicit formula for the distribution for the case of a…
math.DG2005
Grafting, pruning, and the antipodal map on measured laminations
David Dumas
Grafting a measured lamination on a hyperbolic surface defines a self-map of Teichmuller space, which is a homeomorphism by a result of Scannell and Wolf. In this paper we study th…