From caf416e5a45719331cee6cd97e5e505619b3fbcb Mon Sep 17 00:00:00 2001 From: filippomazzoli Date: Thu, 8 Aug 2024 03:59:59 +0000 Subject: [PATCH] Update from https://github.com/filippomazzoli/academic-CV/commit/6929243c554ad41db8138b5a131ee0d9b114fe3f --- _bibliography/papers.bib | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/_bibliography/papers.bib b/_bibliography/papers.bib index 39baf5a..f1fdbfb 100644 --- a/_bibliography/papers.bib +++ b/_bibliography/papers.bib @@ -37,6 +37,7 @@ @ARTICLE{2019constantgaussian adsnote = {Provided by the SAO/NASA Astrophysics Data System}, abstract = {We study the geometry of the foliation by constant Gaussian curvature surfaces \((\Sigma_k)_k\,\,\) of a hyperbolic end, and how it relates to the structures of its boundary at infinity and of its pleated boundary. First, we show that the Thurston and the Schwarzian parametrizations are the limits of two families of parametrizations of the space of hyperbolic ends, defined by Labourie in 1992 in terms of the geometry of the leaves \(\Sigma_k\). We give a new description of the renormalized volume using the constant curvature foliation. We prove a generalization of McMullen's Kleinian reciprocity theorem, which replaces the role of the Schwarzian parametrization with Labourie's parametrizations. Finally, we describe the constant curvature foliation of a hyperbolic end as the integral curve of a time-dependent Hamiltonian vector field on the cotangent space to Teichmüller space, in analogy to the Moncrief flow for constant mean curvature foliations in Lorenzian space-times.}, html= {https://arxiv.org/abs/1910.06203}, + year-preprint={2019}, } @ARTICLE{2021infimum, @@ -59,6 +60,7 @@ @ARTICLE{2021infimum abstract = {We show that the infimum of the dual volume of the convex core of a convex co-compact hyperbolic \(3\)-manifold with incompressible boundary coincides with the infimum of the Riemannian volume of its convex core, as we vary the geometry by quasi-isometric deformations. We deduce a linear lower bound of the volume of the convex core of a quasi-Fuchsian manifold in terms of the length of its bending measured lamination, with optimal multiplicative constant.}, html = {https://doi.org/10.2140/gt.2023.27.2319}, keywords={published}, + year-preprint={2021}, } @@ -79,6 +81,7 @@ @ARTICLE{2021parahyperkahler abstract = {In this paper we study the para-hyperKähler geometry of the deformation space of MGHC anti-de Sitter structures on \(\Sigma\times{\mathbb R}\), for \(\Sigma\,\,\) a closed oriented surface. We show that a neutral pseudo-Riemannian metric and three symplectic structures coexist with an integrable complex structure and two para-complex structures, satisfying the relations of para-quaternionic numbers. We show that these structures are directly related to the geometry of MGHC manifolds, via the Mess homeomorphism, the parameterization of Krasnov-Schlenker by the induced metric on \(K\)-surfaces, the identification with the cotangent bundle \(T^*{\mathcal T}(\Sigma) \), and the circle action that arises from this identification. Finally, we study the relation to the natural para-complex geometry that the space inherits from being a component of the \({\mathrm P} {\mathrm S} {\mathrm L}(2,{\mathbb B})\)-character variety, where \({\mathbb B}\,\,\) is the algebra of para-complex numbers, and the symplectic geometry deriving from Goldman symplectic form.}, html= {https://arxiv.org/abs/2107.10363}, keywords={accepted}, + year-preprint={2021}, } @@ -104,6 +107,7 @@ @ARTICLE{2022maximalreprs The tools we develop allow to recover various results by Collier, Tholozan, and Toulisse on the (pseudo-Riemannian) geometry of \(\rho\,\,\) and on the correspondence between maximal representations and fibered photon manifolds through a constructive and geometric approach, bypassing the use of Higgs bundles.}, html= {https://arxiv.org/abs/2206.06946}, + year-preprint={2022}, } @@ -129,6 +133,7 @@ @article {2022lengths html= {https://doi.org/10.1017/fms.2023.100}, arxiv = {2212.11106}, keywords={published}, + year-preprint={2022}, } @ARTICLE{2023cmcfoliations, @@ -148,6 +153,7 @@ @ARTICLE{2023cmcfoliations arxiv={2204.05736}, html= {https://link.springer.com/article/10.1007/s00208-023-02625-7}, keywords={published}, + year-preprint={2022}, } @article {2022dual_WP, @@ -172,6 +178,7 @@ @article {2022dual_WP html= {https://www.ams.org/journals/tran/2022-375-01/S0002-9947-2021-08521-9/home.html}, arxiv={1907.04754}, keywords={published}, + year-preprint={2019}, } @ARTICLE{2023pleated, @@ -216,6 +223,7 @@ @article {2021dualBS html={https://msp.org/agt/2021/21-1/p07.xhtml}, arxiv={1808.08936}, keywords={published}, + year-preprint={2018}, } @ARTICLE{2016intertwining,