18 citations · 28 across the 2 of their papers we have counts for
5 papers
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…
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…
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…
Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan curves I. Current correlation functions
Leon A. Takhtajan
We study families of quantum field theories of free bosons on a compact Riemann surface of genus g. For the case g > 0 these theories are parameterized by holomorphic line bundles…
Deformation Quantization of Kahler Manifolds
Nicolai Reshetikhin, Leon Takhtajan
We present an explicit formula for the deformation quantization on Kähler manifolds.