A period mapping in universal Teichm\"uller space

DOI10.1090/S0273-0979-1992-00273-2zbMath0749.32013arXivmath/9204237MaRDI QIDQ4005815

Subhashis Nag

Publication date: 27 September 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9204237

zbMATH Keywords

string theoryuniversal Teichmüller spaceperiod mapping

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Teichmüller theory for Riemann surfaces (30F60)

Related Items (14)

Quasisymmetric maps and string theory ⋮ Teichmüller theory of the universal hyperbolic lamination ⋮ Comparison Moduli Spaces of Riemann Surfaces ⋮ On the analytic structure of certain infinite dimensional Teicmüller spaces ⋮ Quantization of the universal Teichmüller space ⋮ Quantization of the universal Teichmüller space ⋮ In search of infinite-dimensional Kähler geometry ⋮ Kobayashi's and Teichmüller's metrics and Bers complex manifold structure on circle diffeomorphisms ⋮ Universal index theorem on \(\mathrm{M\"ob}(S^1)\setminus \mathrm{Diff}_+(S^1)\) ⋮ On Grunsky operator ⋮ A Model of the Teichmüller space of genus-zero bordered surfaces by period maps ⋮ Universal Teichmüller space in geometry and physics ⋮ Classical and quantum Teichmüller spaces ⋮ Kähler geometry of the universal Teichmüller space and coadjoint orbits of the Virasoro group

Cites Work

• Loop groups and equations of KdV type
• Coadjoint orbits of the Virasoro group
• Unitary representations of some infinite dimensional groups
• Canonical measures on the moduli spaces of compact Riemann surfaces
• On conformal welding homeomorphisms associated to Jordan curves
• The Ricci curvature of Diff S1/SL(2, R)
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
• Symplectic Geometry
• Unnamed Item

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