Citation
Teo, Lee-Peng (2007) Bers isomorphism on the universal Teichmüller curve. Mathematische Zeitschrift, 256 (3). 603-613 . ISSN 0025-5874
Text (Bers isomorphism on the universal Teichmuller curve)
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Official URL: http://dx.doi.org/10.1007/s00209-006-0089-9
Abstract
We study the Bers isomorphism between the Teichmuller space of the parabolic cyclic group and the universal Teichmuller curve. We prove that this is a group isomorphism and its derivative map gives a remarkable relation between Fourier coefficients of cusp forms and Fourier coefficients of vector fields on the unit circle. We generalize the Takhtajan-Zograf metric to the Teichmuller space of the parabolic cyclic group, and prove that up to a constant, it coincides with the pull back of the Velling-Kirillov metric defined on the universal Teichmuller curve via the Bers isomorphism.
Item Type: | Article |
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Subjects: | T Technology > T Technology (General) Q Science > QA Mathematics > QA71-90 Instruments and machines > QA75.5-76.95 Electronic computers. Computer science |
Divisions: | Faculty of Engineering and Technology (FET) |
Depositing User: | Ms Suzilawati Abu Samah |
Date Deposited: | 29 Sep 2011 05:53 |
Last Modified: | 27 Feb 2014 07:29 |
URII: | http://shdl.mmu.edu.my/id/eprint/3043 |
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