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Seiberg-Witten tau-function on Hurwitz spaces

Title:

Seiberg-Witten tau-function on Hurwitz spaces

White, Meghan (2020) Seiberg-Witten tau-function on Hurwitz spaces. Masters thesis, Concordia University.

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Abstract

We provide a proof of the form taken by the Seiberg-Witten tau-function on the Hurwitz space of N-fold ramified covers of the Riemann sphere by a compact Riemann surface of genus g, a result derived in [10] for a special class of monodromy data. To this end we examine the Riemann-Hilbert problem with N×N quasi-permutation monodromies, whose corresponding isomonodromic tau-function contains the Seiberg-Witten tau-function as one of three factors. We present the solution of the Riemann-Hilbert problem following [11]. Along the way we give elementary proofs of variational formulas on Hurwitz spaces, including the Rauch formulas.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:White, Meghan
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:8 January 2020
Thesis Supervisor(s):Korotkin, Dmitry
ID Code:986406
Deposited By: Meghan White
Deposited On:26 Jun 2020 13:42
Last Modified:26 Jun 2020 13:42
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