English

Pseudoholomorphic quilts with figure eight singularity

Symplectic Geometry 2019-10-15 v2

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.

Cite

@article{arxiv.1410.3834,
  title  = {Pseudoholomorphic quilts with figure eight singularity},
  author = {Nathaniel Bottman},
  journal= {arXiv preprint arXiv:1410.3834},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-22T06:23:33.029Z