In this thesis, we investigate the period mapping of Teichmuller space into the Siegel upper half space. This is constructed from integrals of a basis of holomorphic one-forms along closed curves of a basis of the Riemann surface. We consider the Riemann, Teichmuller and Torelli moduli spaces and their representation in the Siegel upper half space, and its relation to orbits of a symplectic and a set of positive polarizations of a vector space of dimension equal to the genus of the surface. / October 2016
| Identifer | oai:union.ndltd.org:MANITOBA/oai:mspace.lib.umanitoba.ca:1993/31759 |
| Date | 14 September 2016 |
| Creators | Akhtariiev, Mykhailo |
| Contributors | Schippers, Eric (Mathematics), Chipalkatti, Jaydeep (Mathematics), Schippers, Eric (Mathematics), Chipalkatti, Jaydeep (Mathematics) Gericke, Michael (Physics) |
| Source Sets | University of Manitoba Canada |
| Detected Language | English |
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