Affine twist deformation of a sphere with holes
arXiv:1506.00345 · doi:10.1007/s10711-015-0137-x
Abstract
In this paper, we introduce a new parameter, the affine twist parameter for the affine deformation of a sphere with holes. We show that the affine deformation space can be parametrized by Margulis invariants and affine twist parameters. The affine twist parameter is canonically regarded as a correspondence to the Fenchel-Nielsen twist parameter in Teichmuller theory.
18 pages with 8 figures