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Thesis

Spectral networks, abelianization, and opers

Abstract:

In this thesis we study a number of geometric structures arising in the study of four-dimensional supersymmetric quantum field theories.

We study properties and applications of so-called “spectral networks” on Riemann surfaces C, focusing in particular on the “abelianization map” which we use to produce special coordinate systems on moduli spaces of local systems on C. We generalize the classical Fenchel-Nielsen coordinates and utilize these coordinates to compute superpotentials, f...

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University of Oxford
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Funding agency for:
Omar Ahmed Kidwai
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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