3 papers
math.DG2026
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…
math.MG2025
Circular Isoptics in Flatland
Alexander Thomas
We explore convex shapes in the Euclidean plane which have the following property: there is a circle such that the angle between the two tangents from any point of to $…