collaborators

3 papers

math.DG2026

Harmonic extension of Weil-Petersson circle homeomorphisms

Farid Diaf, Vladimir Marković, 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…

math.GT2026

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…

math.CV2025

Unique extremality of affine maps on plane domains

Qiliang Luo, Vladimir Marković

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…