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math.DG2020
Higher Complex Structures and Higher Teichmüller Theory
Alexander Thomas
In this PhD thesis, we give a new geometric approach to higher Teichmüller theory. In particular we construct a geometric structure on surfaces, generalizing the complex structure,…
math.DG2020★ 3 cited
Higher Complex Structures and Flat Connections
Alexander Thomas
In the physics literature, Bilal--Fock--Kogan \cite{BFK} introduced the idea of parabolic reduced flat connections on a surface to give a geometric origin to -algebras. In this…