A Lagrangian Klein bottle you can't squeeze
Symplectic Geometry
2022-06-09 v2 Geometric Topology
Abstract
Suppose you have a nonorientable Lagrangian surface L in a symplectic 4-manifold. How far can you deform the symplectic form before the smooth isotopy class of L contains no Lagrangians? I solve this question for a particular Lagrangian Klein bottle. I also discuss some related conjectures.
Cite
@article{arxiv.2009.01546,
title = {A Lagrangian Klein bottle you can't squeeze},
author = {Jonathan David Evans},
journal= {arXiv preprint arXiv:2009.01546},
year = {2022}
}
Comments
10 pages, 4 figures. This version of the article has been accepted for publication, after peer review, but is not the Version of Record. The Version of Record is available online at: https://doi.org/10.1007/s11784-022-00945-w