4 papers
Harmonic extension of Weil-Petersson circle homeomorphisms
Farid Diaf, Vladimir MarkoviÄ, Abderrahim Mesbah
In this paper, we study Weil--Petersson circle homeomorphisms from the viewpoint of harmonic maps. We prove that a homeomorphism is Weil--Petersson i…
Holomorphic curves in compact quotients of SL(2,C)
Yiran Lin, Vladimir Markovic
We prove that every discrete faithful representation of the surfcae group into SL(2,C) is the monodromy of a holomorphic connection on the trivial rank-2 vector bundle over a Riema…
Unique extremality of affine maps on plane domains
Qiliang Luo, Vladimir MarkoviÄ
We prove that affine maps are uniquely extremal quasiconformal maps on the complement of a well distribute set in the complex plane answering a conjecture from \cite{markovic}. We…
Derivative of the Riemann-Hilbert map
Vladimir MarkoviÄ, Ognjen ToÅ¡iÄ
Given a pair , consisting of a closed Riemann surface and a holomorphic connection on the trivial principal bundle ,…