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For a quasi-Fuchsian group $\Ga$ with ordinary set $\Omega$, and $\Delta_{n}$the Laplacian on \n differentials on $\Ga\bk\Omega$, we define a notion of aBers dual basis $\phi_{1},...c,\phi_{2d}$ for $\ker\Delta_{n}$. We prove that$\det\Delta_{n}/\det <\phi_{j},\phi_{k}>$, is, up to an anomaly computed byTakhtajan and the second author in \cite{TT1}, the modulus squared of aholomorphic function F(n), where F(n) is a quasi-Fuchsian analogue of theSelberg zeta Z(n). This generalizes the D'Hoker-Phong formula$\det\Delta_{n}=c_{g,n}Z(n)$, and is a quasi-Fuchsian counterpart of the resultfor Schottky groups proved by Takhtajan and the first author in \cite{MT}.Comment: 15 page

Holomorphic Factorization of Determinants of Laplacians using Quasi-Fuchsian Uniformization