2 papers
math.CV2021
Topological invariants and Holomorphic Mappings
Robert E. Greene, Kang-Tae Kim, Nikolay V. Shcherbina
Invariants for Riemann surfaces covered by the disc and for hyperbolic manifolds in general involving minimizing the measure of the image over the homotopy and homology classes of…
math.CV2016
The Riemann mapping theorem from Riemann's viewpoint
Robert E. Greene, Kang-Tae Kim
This article presents a clear proof of the Riemann Mapping Theorem via Riemann's method, uncompromised by any appeals to topological intuition.