3 papers
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.GT2026
Caratheodory metrics on Teichmuller spaces
Yiran Lin, Vladimir Markovic
Let be an arbitrary Riemann surface whose Teichmüller space has dimension at least two. A long standing problem is to determine whether the Carathéodory metric a…
math.AG2025
Lefschetz theorems, Hodge-Riemann relations and Ample vector bundles
Yiran Lin
We introduce a new Hermitian metric on the cohomology ring of compact Kählerian manifolds with a pair satisfying certain Hodge-Riemann relations. An Hermitian metric on th…