Bers isomorphism on the universal Teichmüller curve

Details Bers isomorphism on the universal Teichmüller curve Bers isomorphism on the universal Teichmüller curve

2006-07-14

arxiv.org/abs/math/0607336v1

Math. Z. 256 (2007), no. 3, 603-613

Mathematics

Complex Variables

11 pages

Scientific paper

We study the Bers isomorphism between the Teichm\"uller space of the parabolic cyclic group and the universal Teichm\"uller 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 Teichm\"uller 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 Teichm\"uller curve via the Bers isomorphism.

Affiliated with

Also associated with

No associations

Rating

Bers isomorphism on the universal Teichmüller curve does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bers isomorphism on the universal Teichmüller curve, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bers isomorphism on the universal Teichmüller curve will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97201