Interpolation on pseudo-holomorphic cylinders

Antoine Gournay (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

Gromov has shown how to construct holomorphic maps of the plane to a complex manifold with prescribed values on a lattice. We prove a similar interpolation theorem for pseudo-holomorphic maps from a cylinder to an almost-complex manifold. An infinite number of surgeries are required. On the way, we need a refinement of the gluing process for two pseudo-holomorphic curves.

Mots clés: Pseudo-holomorphic maps; Gluing; Mean dimension

Domaines: Géométrie symplectique [math.SG]

Antoine Gournay. Interpolation on pseudo-holomorphic cylinders. 2008. ⟨hal-00473485⟩