Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces

DOI10.1016/j.aim.2016.10.002zbMath1353.14044arXiv1508.02102OpenAlexW2963589346WikidataQ125826596 ScholiaQ125826596MaRDI QIDQ340425

Jinsung Park, Lee-Peng Teo, L. A. Takhtadzhyan

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02102

zbMATH Keywords

Teichmüller spaceWeil-Petersson metricrenormalized volumeChern formLiouville actionSchottky spaceTakhtajan-Zograf metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Applications of global differential geometry to the sciences (53C80) Vector bundles on curves and their moduli (14H60)

Related Items (7)

Liouville action and holography on quasi-Fuchsian deformation spaces ⋮ Liouville action for harmonic diffeomorphisms ⋮ Quantum Hall states and conformal field theory on a singular surface ⋮ Semiclassical 3D gravity as an average of large-\(c\) CFTs ⋮ Local index theorem for orbifold Riemann surfaces ⋮ Boundary Behaviour of Weil–Petersson and Fibre Metrics for Riemann Moduli Spaces ⋮ Central charge from adiabatic transport of cusp singularities in the quantum Hall effect

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