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On variational formulas on spaces of quadratic differentials

Title:

On variational formulas on spaces of quadratic differentials

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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