Counting real rational curves on real symplectic 4-manifolds with vanishing first Chern class
Symplectic Geometry
2015-04-17 v1
Abstract
We define a signed count of real rational pseudo-holomorphic curves appearing in a one-parameter family of real Spin symplectic K3 surfaces. We show that this count is an invariant of the deformation class of the family. In the case of a real projective K3 surface, this invariant specializes to count real rational curves appearing in a linear system on the surface.
Keywords
Cite
@article{arxiv.1504.04186,
title = {Counting real rational curves on real symplectic 4-manifolds with vanishing first Chern class},
author = {Crétois Rémi},
journal= {arXiv preprint arXiv:1504.04186},
year = {2015}
}