Compatible Complex Structures on Symplectic Rational Ruled Surfaces

@inproceedings{Abreu2008CompatibleCS,
  title={Compatible Complex Structures on Symplectic Rational Ruled Surfaces},
  author={Miguel Ara{\'u}jo Abreu and GUSTAVO GRANJA},
  year={2008}
}
In this paper we study the topology of the space Iω of complex structures compatible with a fixed symplectic form ω, using the framework of Donaldson. By comparing our analysis of the space Iω with results of McDuff on the space Jω of compatible almost complex structures on rational ruled surfaces, we find that Iω is contractible in this case. We then apply… CONTINUE READING