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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 160, Pages 110–120
(Mi znsl5428)
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The potential of the Weil-Petersson metric on Torelli space
P. G. Zograf, L. A. Takhtadzhyan
Abstract:
It is proved that the function $12\pi\log(Z^\prime(1)/\det\operatorname{Im}\tau)$, where $Z(s)$ is Sel'berg zeta function and $\tau$ is the matrix of the periods of a distinguished Riemann surface, is a potential of the Weil-Petersson metric on the Torelli space.
Citation:
P. G. Zograf, L. A. Takhtadzhyan, “The potential of the Weil-Petersson metric on Torelli space”, Analytical theory of numbers and theory of functions. Part 8, Zap. Nauchn. Sem. LOMI, 160, "Nauka", Leningrad. Otdel., Leningrad, 1987, 110–120
Linking options:
https://www.mathnet.ru/eng/znsl5428 https://www.mathnet.ru/eng/znsl/v160/p110
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Statistics & downloads: |
Abstract page: | 193 | Full-text PDF : | 64 |
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