Holomorphic Factorization of Determinants of Laplacians using Quasi-Fuchsian Uniformization
For a quasi-Fuchsian group Gamma with ordinary set Omega, and Delta(n) the Laplacian on n-differentials on Gamma\Omega, we define a notion of a Bers dual basis phi(1),...,phi(2d) for ker Delta(n). We prove that det Delta(n)/det <phi(j), phi(k)>, is, up to an anomaly computed by Takhtajan and t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SPRINGER
2008
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| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/2876/ http://shdl.mmu.edu.my/2876/1/910.pdf |