Anti-de Sitter geometry and Teichmüller theory
F Bonsante, A Seppi - In the tradition of Thurston: Geometry and topology, 2020 - Springer
The aim of this chapter is to provide an introduction to Anti-de Sitter geometry, with special
emphasis on dimension three and on the relations with Teichmüller theory, whose study has …
emphasis on dimension three and on the relations with Teichmüller theory, whose study has …
A quantization of moduli spaces of 3-dimensional gravity
HK Kim, C Scarinci - Communications in Mathematical Physics, 2024 - Springer
We construct a quantization of the moduli space GH Λ (S× R) of maximal globally hyperbolic
Lorentzian metrics on S× R with constant sectional curvature Λ, for a punctured surface S …
Lorentzian metrics on S× R with constant sectional curvature Λ, for a punctured surface S …
Lorentzian Kleinian Groups
T Barbot - arXiv preprint arXiv:1609.03863, 2016 - arxiv.org
Classical Kleinian groups are discrete subgroups of isometries of H n. The well-known
theory of Kleinian groups starts with the definition of their associated limit set in the boundary …
theory of Kleinian groups starts with the definition of their associated limit set in the boundary …
Para-hyperK\" ahler geometry of the deformation space of maximal globally hyperbolic anti-de Sitter three-manifolds
F Mazzoli, A Seppi, A Tamburelli - arXiv preprint arXiv:2107.10363, 2021 - arxiv.org
In this paper we study the para-hyperK\" ahler geometry of the deformation space of MGHC
anti-de Sitter structures on $\Sigma\times\mathbb R $, for $\Sigma $ a closed oriented …
anti-de Sitter structures on $\Sigma\times\mathbb R $, for $\Sigma $ a closed oriented …
Group actions and scattering problems in Teichm\" uller theory
F Fillastre, G Smith - arXiv preprint arXiv:1605.04563, 2016 - arxiv.org
In recent years, Teichm\" uller theory, which is the study of moduli spaces of marked
Riemann surfaces, has come to be considered more and more from the point of view of …
Riemann surfaces, has come to be considered more and more from the point of view of …
Volumes of quasifuchsian manifolds
JM Schlenker - arXiv preprint arXiv:1903.09849, 2019 - arxiv.org
Quasifuchsian hyperbolic manifolds, or more generally convex co-compact hyperbolic
manifolds, have infinite volume, but they have a well-defined``renormalized''volume. We …
manifolds, have infinite volume, but they have a well-defined``renormalized''volume. We …
Generalized shear coordinates on the moduli spaces of three-dimensional spacetimes
C Meusburger, C Scarinci - Journal of Differential Geometry, 2016 - projecteuclid.org
We introduce coordinates on the moduli spaces of maximal globally hyperbolic constant
curvature 3d spacetimes with cusped Cauchy surfaces $ S $. They are derived from the …
curvature 3d spacetimes with cusped Cauchy surfaces $ S $. They are derived from the …
[PDF][PDF] Problemes de Plateau asymptotiques, leurs généralisations, et applications aux structures géométriques Asymptotic Plateau problems, their generalizations …
U Hamenstädt - 2024 - seppi.perso.math.cnrs.fr
It has been for me a challenging exercise to look back at the research that I have developed
since obtention of my PhD in 2015, to “connect the dots”, and to describe the trajectory that …
since obtention of my PhD in 2015, to “connect the dots”, and to describe the trajectory that …
Lightlike and ideal tetrahedra
C Meusburger, C Scarinci - Geometriae Dedicata, 2022 - Springer
We give a unified description of tetrahedra with lightlike faces in 3d anti-de Sitter, de Sitter
and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-pipe …
and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-pipe …