Bubbling-off in Families of Pseudoholomorphic Disks

Abstract

In this chapter, let (M, λ) be a three dimensional manifold with contact form λ, and let F ⊂ M be an embedded surface. Denote by Σ_F the set of singular points on the surface, i.e.

$$\displaystyle \Sigma _F:=\{p\in F\,|\,\ker \lambda (p)=T_pF\} $$

and by F ^∗ the surface without its singular points.