English

Ruled 4-manifolds and isotopies of symplectic surfaces

Symplectic Geometry 2007-05-23 v1

Abstract

We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence we see that, in any symplectic 4-manifold, two homologous symplectic surfaces which are sufficiently C^0 close must be Hamiltonian isotopic.

Keywords

Cite

@article{arxiv.math/0510108,
  title  = {Ruled 4-manifolds and isotopies of symplectic surfaces},
  author = {R. Hind and A. Ivrii},
  journal= {arXiv preprint arXiv:math/0510108},
  year   = {2007}
}