Slicing, skinning, and grafting
Geometric Topology
2008-03-18 v2 Differential Geometry
Abstract
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 constant. The proof uses grafting and the theory of complex projective structures.
Keywords
Cite
@article{arxiv.0705.1706,
title = {Slicing, skinning, and grafting},
author = {David Dumas and Richard P. Kent},
journal= {arXiv preprint arXiv:0705.1706},
year = {2008}
}