Journal of Symplectic Geometry

Volume 18 (2020)

Number 1

Pseudoholomorphic quilts with figure eight singularity

Pages: 1 – 55



Nathaniel Bottman (School of Mathematics, Institute for Advanced Study, Princeton, New Jersey, U.S.A.)


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 nonstandard complex structures on the domain.

Received 8 July 2018

Accepted 31 October 2018

Published 25 March 2020