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math.CV2004★ 10 cited
Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping
Leon A. Takhtajan, Lee-Peng Teo
We study the Hilbert manifold structure on -- the connected component of the identity of the Hilbert manifold T(1). We characterize points on in terms of Bers…
math.CV2003★ 18 cited
Weil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms
Leon A. Takhtajan, Lee-Peng Teo
We prove that the universal Teichmuller space T(1) carries a new structure of a complex Hilbert manifold. We show that the connected component of the identity of T(1), the Hilbert…
math.CV2001
Hyperbolic 2-spheres with conical singularities, accessory parameters and Kaehler metrics on
Leon Takhtajan, Peter Zograf
We show that the real-valued function on the moduli space of pointed rational curves, defined as the critical value of the Liouville action functional on…