Complex geometric applications of Gauge Theory

Authors :: Teleman, Andrei
Toma, Matei
Laboratoire d'Analyse, Topologie, Probabilités (LATP)
Université Paul Cézanne - Aix-Marseille 3-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS)
'Simion Stoilow' Institute of Mathematics (IMAR)
Romanian Academy of Sciences
Source :: Oberwolfach Reports, Oberwolfach Reports, Vol. 1, Issue 3, Komplexe Analysis, Komplexe Analysis, Aug 2004, Oberwolfach, Germany. pp.2204-2207, ⟨10.4171/OWR/2004/42⟩
Publication Year :: 2004
Publisher :: HAL CCSD, 2004.
Abstract: International audience; We show that Donaldson theory can be used to solve a classical problem in complex geometry: which topological vector bundles on a given complex surface admit a holomorphic structure? The problem is interesting for non-algebraic surfaces. We answer completely this question for bundles of rank 2 over a K3 surface.

Subjects :: Mathematics::Algebraic Geometry
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Mathematics::Symplectic Geometry

Language :: English
ISSN :: 16608933
Database :: OpenAIRE
Journal :: Oberwolfach Reports, Oberwolfach Reports, Vol. 1, Issue 3, Komplexe Analysis, Komplexe Analysis, Aug 2004, Oberwolfach, Germany. pp.2204-2207, ⟨10.4171/OWR/2004/42⟩
Accession number :: edsair.dedup.wf.001..fd2f51a02590f16ddb31a964e84446f1
Full Text :: https://doi.org/10.4171/OWR/2004/42⟩