Complex geometric applications of Gauge Theory
Teleman, Andrei ; Toma, Matei
HAL, hal-00881720 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-08-22
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 
@article{hal-00881720,
     author = {Teleman, Andrei and Toma, Matei},
     title = {Complex geometric applications of Gauge Theory},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00881720}
}

Teleman, Andrei; Toma, Matei. Complex geometric applications of Gauge Theory. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881720/