Azarfar, Shahab (2014) On variational formulas on spaces of quadratic differentials. Masters thesis, Concordia University.
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Abstract
We study the variational formulas for the normalized Abelian differentials and matrix of b-periods on Hurwitz spaces, the moduli spaces of holomorphic Abelian differentials and quadratic differentials over compact Riemann surfaces. As the main result of the thesis, we find a complete set of local vector fields on the non-hyperelliptic connected component of the principal stratum of the moduli space of holomorphic quadratic differentials preserving the moduli of the base Riemann surface.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Azarfar, Shahab |
| Institution: | Concordia University |
| Degree Name: | M. Sc. |
| Program: | Mathematics |
| Date: | 29 August 2014 |
| Thesis Supervisor(s): | Korotkin, Dmitry |
| ID Code: | 978902 |
| Deposited By: | SHAHAB AZARFAR |
| Deposited On: | 11 Nov 2014 17:32 |
| Last Modified: | 18 Jan 2018 17:47 |
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