Citation

Teo, Lee-Peng (2007) Bers isomorphism on the universal Teichmüller curve. Mathematische Zeitschrift, 256 (3). 603-613 . ISSN 0025-5874

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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
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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