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math.CV2026
Teichmüller space of a closed set in the Riemann sphere
Xinlong Dong, Arshiya Farhath. G, Sudeb Mitra
The Teichmüller space of a closed set in the Riemann sphere is a simply connected complex Banach manifold. Its complex structure follows from Lieb isomorphism. In this paper, we s…
math.CV2024
On the derivatives of the Liouville currents
Xinlong Dong, Dragomir Å ariÄ, Zhe Wang
The Liouville map, introduced by Bonahon, assigns to each point in the Teichmüller space a natural Radon measure on the space of geodesics of the base surface. The Liouville map i…