2026-09-19T16:20:34Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/299842022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Shing-Tung Yau.
Luo, Wei, 1975-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-03-24T18:09:03Z
2006-03-24T18:09:03Z
2003
2003
http://hdl.handle.net/1721.1/29984
54790531
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.
Includes bibliographical references (p. 80).
In this thesis, I study pseudo-holomorphic curves in symplectisation of the unit cotangent bundle of a Riemann surface of genus greater than 1. The contact form and compatible almost complex structure are both constructed from a metric on the Riemann surface whose curvature is constant -1. I related the pseudo-holomorphic curve equation to harmonic map equations and a Cauchy-Riemann type equation perturbed with quadratic terms for functions on a punctured Riemann sphere. Then I prove a Theorem that gives one to one correspondence between solutions to the perturbed Cauchy-Riemann equation and finite energy pseudo-holomorphic curves.
by Wei Luo.
Ph.D.
80 p.
2580726 bytes
2580534 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
On contact homology of the unit cotangent bundle of a Riemann surface with genus greater than one
Thesis
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