665 citations · 1.2k across the 32 of their papers we have counts for
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Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere
Claudio Meneses, Leon A. Takhtajan
Moduli spaces of stable parabolic bundles of parabolic degree over the Riemann sphere are stratified according to the Harder--Narasimhan filtration of underlying vector bundles…
On real projective connections, V.I. Smirnov's approach, and black hole type solutions of the Liouville equation
Leon A Takhtajan
We consider real projective connections on Riemann surfaces and corresponding solutions of the Liouville equation. It is shown that these solutions have singularities of special ty…
Holomorphic factorization of determinants of laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula
Andrew McIntyre, Leon A. Takhtajan
For a family of compact Riemann surfaces X_t of genus g>1 parametrized by the Schottky space S_g, we define a natural basis for the holomorphic n-differentials on X_t which varies…
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…