Pseudoholomorphic quilts with figure eight singularity

Abstract

We show that the novel figure eight singularity in a pseudoholomorphic quilt can be continuously removed when composition of Lagrangian correspondences is cleanly immersed. The proof of this result requires a collection of width-independent elliptic estimates that allow for non-standard complex structures on the domain.

34 pages, 5 figures. Final version for publication in Journal of Symplectic Geometry