STABILITY FOR HOLOMORPHIC SPHERES AND MORSE THEORY

@article{Cohen1999STABILITYFH,
  title={STABILITY FOR HOLOMORPHIC SPHERES AND MORSE THEORY},
  author={Ralph Cohen and John D. S. Jones and Graeme B. Segal},
  journal={arXiv: Symplectic Geometry},
  year={1999}
}
In this paper we study the question of when does a closed, simply connected, integral symplectic manifold (X, !) have the stability property for its spaces of based holomorphic spheres? This property states that in a stable limit under certain gluing operations, the space of based holomorphic maps from a sphere to X, becomes homotopy equivalent to the space of all continuous maps, lim → Holx0 (P 1 , X) ≃ 2 X. This limit will be viewed as a kind of stabilization of Holx0(P 1 , X). We conjecture… 
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