Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography

DOI10.1007/s00220-003-0878-5zbMath1065.30046arXivmath/0204318OpenAlexW3099770631MaRDI QIDQ1404750

Lee-Peng Teo, L. A. Takhtadzhyan

Publication date: 21 August 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204318

zbMATH Keywords

Teichmueller spaceWeil-Petersson metricquasi-Fuchsian groupprojective connectionsFuchsian uniformization of Riemann surfacesLiouville action functional

Mathematics Subject Classification ID

Applications of deformations of analytic structures to the sciences (32G81) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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