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Triangulated Riemann surfaces with boundary and the Weil-Petersson Poisson structure

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Publication:1004359
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DOI10.4310/jdg/1231856265zbMath1165.53026arXivmath/0610698OpenAlexW1696504661WikidataQ115172162 ScholiaQ115172162MaRDI QIDQ1004359

Gabriele Mondello

Publication date: 3 March 2009

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610698

zbMATH Keywords

Teichmüller spacegeodesichyperbolic surfaceFenchel-Nielsen deformationWeil-Petersson Poisson structureWolpert formula


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Triangulating manifolds (57Q15) Geodesics in global differential geometry (53C22)


Related Items

Almost-isometry between the Teichmüller metric and the arc-length-spectrum metric on moduli space for surfaces with boundary, Extension of the Weil-Petersson connection, Rigidity of polyhedral surfaces. II., The Roger-Yang skein algebra and the decorated Teichmüller space, Roger and Yang’s Kauffman bracket arc algebra is finitely generated, Tessellating the Moduli Space of Strictly Convex Projective Structures on the Once-Punctured Torus



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