Holomorphic extensions of determinants of Laplacians

Details Holomorphic extensions of determinants of Laplacians Holomorphic extensions of determinants of Laplacians

2004-10-18

arxiv.org/abs/math/0410362v2

Mathematics

Complex Variables

11 pages, LaTeX; added an important remark in Introduction and added the corresponding reference, typos corrected

Scientific paper

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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