Teichmuller space and its representation with the period mapping
| dc.contributor.author | Akhtariiev, Mykhailo | |
| dc.contributor.examiningcommittee | Schippers, Eric (Mathematics), Chipalkatti, Jaydeep (Mathematics) Gericke, Michael (Physics) | en_US |
| dc.contributor.supervisor | Schippers, Eric (Mathematics), Chipalkatti, Jaydeep (Mathematics) | en_US |
| dc.date.accessioned | 2016-09-14T19:16:04Z | |
| dc.date.available | 2016-09-14T19:16:04Z | |
| dc.date.issued | 2016 | |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | Master of Science (M.Sc.) | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.note | October 2016 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1993/31759 | |
| dc.language.iso | eng | en_US |
| dc.rights | open access | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Teichmuller space | en_US |
| dc.subject | Torelli space | en_US |
| dc.subject | Riemann space | en_US |
| dc.subject | Period mapping | en_US |
| dc.subject | Teichmuller theory | en_US |
| dc.title | Teichmuller space and its representation with the period mapping | en_US |
| dc.type | master thesis | en_US |