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Misha Verbitsky
Misha Verbitsky
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The corresponding Kahler metric is called "Weil-PetersonPetersson metric"; it is often constructed using infinite-dimensional determinants of the corresponding Laplace operators. The standard reference is a sequence of papers by Bismut-Gillet-Soule: J.Bismut, H.Gillet and C.Soule, Analytic torsion and holomorphic determinant bundles, I,II,III, Comm. Math Phys., 115, 1988, 49-78, 79-126, 301-351; see also http://arxiv.org/abs/math/0406408, http://arxiv.org/abs/math/0312172, Leon A. Takhtajan, Lee-Peng Teo, "Weil-Petersson metric on the universal Teichmuller space I, II".

The corresponding Kahler metric is called "Weil-Peterson metric"; it is often constructed using infinite-dimensional determinants of the corresponding Laplace operators. The standard reference is a sequence of papers by Bismut-Gillet-Soule: J.Bismut, H.Gillet and C.Soule, Analytic torsion and holomorphic determinant bundles, I,II,III, Comm. Math Phys., 115, 1988, 49-78, 79-126, 301-351; see also http://arxiv.org/abs/math/0406408, http://arxiv.org/abs/math/0312172, Leon A. Takhtajan, Lee-Peng Teo, "Weil-Petersson metric on the universal Teichmuller space I, II".

The corresponding Kahler metric is called "Weil-Petersson metric"; it is often constructed using infinite-dimensional determinants of the corresponding Laplace operators. The standard reference is a sequence of papers by Bismut-Gillet-Soule: J.Bismut, H.Gillet and C.Soule, Analytic torsion and holomorphic determinant bundles, I,II,III, Comm. Math Phys., 115, 1988, 49-78, 79-126, 301-351; see also http://arxiv.org/abs/math/0406408, http://arxiv.org/abs/math/0312172, Leon A. Takhtajan, Lee-Peng Teo, "Weil-Petersson metric on the universal Teichmuller space I, II".

Source Link
Misha Verbitsky
Misha Verbitsky
  • 9.2k
  • 1
  • 28
  • 48

The corresponding Kahler metric is called "Weil-Peterson metric"; it is often constructed using infinite-dimensional determinants of the corresponding Laplace operators. The standard reference is a sequence of papers by Bismut-Gillet-Soule: J.Bismut, H.Gillet and C.Soule, Analytic torsion and holomorphic determinant bundles, I,II,III, Comm. Math Phys., 115, 1988, 49-78, 79-126, 301-351; see also http://arxiv.org/abs/math/0406408, http://arxiv.org/abs/math/0312172, Leon A. Takhtajan, Lee-Peng Teo, "Weil-Petersson metric on the universal Teichmuller space I, II".