McShane-type Identities for Affine Deformations
Geometric Topology
2016-10-11 v5
Abstract
We derive an identity for Margulis invariants of affine deformations of a complete orientable one-ended hyperbolic sur- face following the identities of McShane, Mirzakhani and Tan- Wong-Zhang. As a corollary, a deformation of the surface which infinitesimally lengthens all interior simple closed curves must in- finitesimally lengthen the boundary.
Keywords
Cite
@article{arxiv.1507.01854,
title = {McShane-type Identities for Affine Deformations},
author = {Virginie Charette and William M. Goldman},
journal= {arXiv preprint arXiv:1507.01854},
year = {2016}
}
Comments
resubmitted after error revising another submission