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The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces |
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| Authors: | L. A. Takhtajan P. G. Zograf |
| Affiliation: | a Leningrad Branch of the Steklov Mathematical Institute, Leningrad 191011, USSR |
| Abstract: | A local index theorem for families of -operators on Riemann surfaces with functures is proved. A new Kähler metric on the moduli space of punctured surfaces is described in terms of the Eisenstein-Maass series. |
| Keywords: | Selberg zeta function Kähler metric moduli spaces punctured Riemann surfaces |
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