{ "id": "1906.03715", "version": "v1", "published": "2019-06-09T21:33:23.000Z", "updated": "2019-06-09T21:33:23.000Z", "title": "Fenchel-Nielsen coordinates on the augmented moduli space of anti-de Sitter structures", "authors": [ "Andrea Tamburelli" ], "comment": "26 pages", "categories": [ "math.GT", "math.DG", "math.RT" ], "abstract": "In this paper we combine our recent work on regular globally hyperbolic maximal anti-de Sitter structures with the classical theory of globally hyperbolic maximal Cauchy-compact anti-de Sitter manifolds in order to define an augmented moduli space. Moreover, we introduce a coordinate system in this space that resembles the complex Fenchel-Nielsen coordinates for hyperbolic quasi-Fuchsian manifolds.", "revisions": [ { "version": "v1", "updated": "2019-06-09T21:33:23.000Z" } ], "analyses": { "keywords": [ "augmented moduli space", "fenchel-nielsen coordinates", "maximal cauchy-compact anti-de sitter", "cauchy-compact anti-de sitter manifolds", "hyperbolic maximal cauchy-compact anti-de" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }