English

Affine twist deformation of a sphere with holes

Geometric Topology 2016-05-26 v1

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.

Keywords

Cite

@article{arxiv.1506.00345,
  title  = {Affine twist deformation of a sphere with holes},
  author = {Takayuki Masuda},
  journal= {arXiv preprint arXiv:1506.00345},
  year   = {2016}
}

Comments

18 pages with 8 figures