4 citations · 5 across the 4 of their papers we have counts for
7 papers
The universal Kobayashi-Hitchin correspondence on Hermitian manifolds
Martin Lubke, Andrei Teleman
We prove a very general Kobayashi-Hitchin correspondence on arbitrary compact Hermitian manifolds. This correspondence refers to moduli spaces of "universal holomorphic oriented pa…
Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry
Laurent Bruasse, Andrei Teleman
We give a generalisation of the theory of optimal destabilizing 1-parameter subgroups to non-algebraic complex geometry. Consider a holomorphic action of a complex…
Symplectic stability, analytic stability in non-algebraic complex geometry
Andrei Teleman
We give a systematic presentation of the stability theory in the non-algebraic Kaehlerian geometry. We introduce the concept of "energy complete Hamiltonian action". To an energy c…
Gauge theoretical Gromov-Witten invariants and virtual fundamental classes
Christian Okonek, Andrei Teleman
This article is an expanded version of talks given by the authors in Oberwolfach, Bochum, and at the Fano Conference in Torino. Some new results (e. g. the material concerning flag…
Comparing virtual fundamental classes: Gauge theoretical Gromov-Witten invariants for toric varieties
Ch. Okonek, A. Teleman
In general, a Kobayashi-Hitchin correspondence establishes an isomorphism between a moduli space of stable algebraic geometric objects and a moduli space of solutions of a certain…
Holomorphic vector bundles on non-algebraic surfaces
Andrei Teleman, Matei Toma
The existence problem for holomorphic structures on vector bundles over non-algebraic surfaces is in general still open. We solve this problem in the case of rank 2 vector bundles…