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Subjects
32-XX Several complex variables and analytic spaces
32Gxx Deformations of analytic structures
32G15 Moduli of Riemann surfaces, Teichmüller theory

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Displaying 1 – 8 of 8

Earthquakes are analytic.

Steven P. Kerckhoff (1985)

Commentarii mathematici Helvetici

Einbettungen endlicher Riemannscher Flächen.

Steffen Timmann (1975)

Mathematische Annalen

Eine Anwendung des Satzes von Calabi-Yau auf Familien kompakter komplexer Mannigfaltigkeiten.

Georg Schumacher (1983)

Inventiones mathematicae

Endliche Erweiterungen nichteuklidischer kristallographischer Gruppen.

Bruno Zimmermann (1977)

Mathematische Annalen

Erratum: Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Invent. Math. 97, 553-583 (1989).

W.A. Veech (1991)

Inventiones mathematicae

Espace de Teichmüller

Hubert Pesce (1989/1990)

Séminaire de théorie spectrale et géométrie

Euler characteristics of moduli spaces of curves

Gilberto Bini, John Harer (2011)

Journal of the European Mathematical Society

Let $M_{g}^{n}$ be the moduli space of $n$ -pointed Riemann surfaces of genus $g$ . Denote by $\bar{M_{g}^{n}}$ the Deligne-Mumford compactification of $M_{g}^{n}$ . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of $\bar{M_{g}^{n}}$ for any $g$ and $n$ such that $n > 2 - 2 g$ .

Exponential mixing for the Teichmüller flow

Artur Avila, Sébastien Gouëzel, Jean-Christophe Yoccoz (2006)

Publications Mathématiques de l'IHÉS

We study the dynamics of the Teichmüller flow in the moduli space of abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Hölder observables. A geometric consequence is that the $S L (2, ℝ)$ action in the moduli space has a spectral gap.

Currently displaying 1 – 8 of 8

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