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math.CV2004★ 2 cited
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…
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…