On Holomorphic Contractibility of Teichmüller Spaces by Samuel L. Krushkal

Subjects: “…Teichmüller spaces…”
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LIE-GROUPS AND TEICHMULLER SPACE by Hitchin, N

A Teichmüller space for negatively curved surfaces by Hitchin, N

CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS by IAN LE

“…This simplifies some of the proofs in that paper, and also allows one to quantize higher Teichmuller space, which was previously only possible when $G$ was of type $A$.…”
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Carathéodory's metrics on Teichmüller spaces and L-shaped pillowcases by Markovic, V

The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space by Armen G. Sergeev

Subjects: “…universal Teichmüller space…”
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Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces by Gekhtman, D, Markovic, V

“…It was recently shown that the Carathéodory and Teichmüller metrics on the Teichmüller space of a closed surface do not coincide. …”

Teichmüller Theory of Bordered Surfaces by Leonid O. Chekhov

Subjects: “…graph description of Teichmüller spaces…”
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On the Extremality of Harmonic Beltrami Coefficients by Samuel L. Krushkal

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Quasiconformal Homeomorphisms Explicitly Determining the Basic Curve Quasi-Invariants by Samuel L. Krushkal

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Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues by Krushkal Samuel

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FLAT CONNECTIONS AND GEOMETRIC-QUANTIZATION by Hitchin, N

“…Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we construct a projectively flat connection on a vector bundle over Teichmüller space. The fibre of the vector bundle consists of the global sections of a power of the determinant bundle on the moduli space. …”

Infinite energy harmonic maps from quasi-compact Kähler surfaces by Daskalopoulos Georgios, Mese Chikako

“…This is the first step in the construction of pluriharmonic maps from quasiprojective varieties into symmetric spaces of non-compact type, Euclidean and hyperbolic buildings and Teichmüller space.…”
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Cross ratios on cube complexes and length-spectrum rigidity by Fioravanti, E

“…This draws an unexpected similarity between cubulations and the many other geometric structures that can be encoded in terms of boundary cross ratios: for instance, points of Teichmüller space, Hitchin representations, geodesic currents.…”

Length functions in Teichmüller and anti-de Sitter geometry by Filippo Mazzoli, Gabriele Viaggi

“…We establish a link between the behavior of length functions on Teichmüller space and the geometry of certain anti-de Sitter $3$ -manifolds. …”
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COARSE AND FINE GEOMETRY OF THE THURSTON METRIC by DAVID DUMAS, ANNA LENZHEN, KASRA RAFI, JING TAO

“…We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface $S$. …”
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Semisimple actions of mapping class groups on CAT(0) spaces by Bridson, M

“…The action of Mod(Σ) on the completion of Teichmüller space with the Weil-Petersson metric shows that there are interesting actions of this type. …”

Solving 3d gravity with Virasoro TQFT by Scott Collier, Lorenz Eberhardt, Mengyang Zhang

“…We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichmüller space of Riemann surfaces that we refer to as "Virasoro TQFT". …”
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Random geometry in two and three dimensions by Wolfram, Catherine C.

“…The Weil–Petersson Teichmüller space is a subspace of this which has been of long-term interest in geometry and string theory and has recent connections to SLE curves in probability. …”
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Harmonic maps and associated energy functionals by Tošić, O

“…Given such a p and χ, we define the energy functional E : T (S) → R defined on the Teichmüller space T (S) of the Riemann surface structures on S as follows: given a Riemann surface X marked by S, we can lift X to a Riemann surface Y marked by S' such that p is homotopic to a holomorphic immersion Y → X. …”