Journal of Symplectic Geometry

Volume 18 (2020)

Number 1

Pseudoholomorphic quilts with figure eight singularity

Pages: 1 – 55

DOI: https://dx.doi.org/10.4310/JSG.2020.v18.n1.a1

Author

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

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 nonstandard complex structures on the domain.

Full Text (PDF format)

Received 8 July 2018

Accepted 31 October 2018

Published 25 March 2020