| dc.identifier.uri | http://hdl.handle.net/1951/59868 | |
| dc.identifier.uri | http://hdl.handle.net/11401/71417 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | We construct an embedding of T(Z), the Teichm??ller space of Z--a Fuchsian group with a single parabolic generator--into the space of abelian differentials on the Riemann surface M = Z \ H. This "pre-Bers embedding" is much simpler, yet it still draws many parallels with the Bers embedding, such as the existence of a linear local right inverse. This gives rise to new complex coordinates which are compatible with the Bers coordinates. The differentials of the pre-Bers and the Bers embedding belong to a one parameter family of operators on the space of Beltrami differentials on M, which behaving nicely with the Takhtajan-Zograf metric on T(Z). | |
| dcterms.available | 2013-05-22T17:35:36Z | |
| dcterms.available | 2015-04-24T14:47:28Z | |
| dcterms.contributor | Takhtajan, Leon A | en_US |
| dcterms.contributor | Bowman, Joshua | en_US |
| dcterms.contributor | Bishop, Christopher | en_US |
| dcterms.contributor | Velling, John A. | en_US |
| dcterms.creator | Song, Ki Woo | |
| dcterms.dateAccepted | 2013-05-22T17:35:36Z | |
| dcterms.dateAccepted | 2015-04-24T14:47:28Z | |
| dcterms.dateSubmitted | 2013-05-22T17:35:36Z | |
| dcterms.dateSubmitted | 2015-04-24T14:47:28Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 53 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | Song_grad.sunysb_0771E_10914 | en_US |
| dcterms.identifier | http://hdl.handle.net/1951/59868 | |
| dcterms.identifier | http://hdl.handle.net/11401/71417 | |
| dcterms.issued | 2012-05-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2013-05-22T17:35:36Z (GMT). No. of bitstreams: 1
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Previous issue date: 1 | en |
| dcterms.provenance | Made available in DSpace on 2015-04-24T14:47:28Z (GMT). No. of bitstreams: 3
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.subject | Complex Analysis, Teichm??ller Theory | |
| dcterms.title | Teichm??ller Space of a Once Punctured Disk: Complex Coordinates on the Space of Abelian Differentials and the Takhtajan-Zograf Metric | |
| dcterms.type | Dissertation | |
