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math.DG2026★ 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…
math.DG2025
Higher complex structures
Vladimir V. Fock, Alexander Thomas
We introduce and analyze a new geometric structure on topological surfaces generalizing the complex structure. To define this so called higher complex structure we use the punctual…