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Holomorphic extensions of determinants of Laplacians

Young-Heon Kim
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Abstract

The Teichmuller space Teich(S) of a surface S in genus g>1 is a real submanifold of the quasifuchsian space QF(S). We show that the determinant of the Laplacian det'(Delta) on Teich(S) has a unique holomorphic extension to QF(S).

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Young-Heon Kim. 2004-11-19. Holomorphic extensions of determinants of Laplacians. https://arxiv.org/abs/math/0410362

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