Some examples of symplectic rationally connected 4-folds
arXiv:1112.1369
Abstract
A symplectic manifold is called symplectic rationally connected if there is a non-zero genus zero Gromov-Witten invariant with two point insertions. It is conjectured that every smooth projective rationally connected variety is symplectic rationally connected. In this short note we give some examples of rationally connected 4-folds which are symplectic rationally connected. In particular, all Fano 4-folds of pseudo-index at least 2 are symplectic rationally connected. The proof does not use any explicit description of these varieties.
12 pages. This paper has been withdrawn. The main results are included in a different paper: Symplectic geometry and rationally connected 4-folds