Slicing, skinning, and grafting

Details Slicing, skinning, and grafting Slicing, skinning, and grafting

2007-05-11

arxiv.org/abs/0705.1706v2

Mathematics

Geometric Topology

11 pages, 1 figure, to appear in American Journal of Mathematics

Scientific paper

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.

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