2015/07/07 by Charette, Virginie, Goldman, William M.
#53C50 #57M05 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1507.01854
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.