McShane-type Identities for Affine Deformations
classification
🧮 math.GT
keywords
affinedeformationsidentitiesboundaryclosedcompletecorollarycurves
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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.
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