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A Lagrangian Klein bottle you can't squeeze

Research output: Contribution to Journal/Magazine › Special issue › peer-review

Published
Article number47
<mark>Journal publication date</mark>4/06/2022
<mark>Journal</mark>Journal of Fixed Point Theory and Applications
Issue number2
Volume24
Number of pages10
Publication StatusPublished
<mark>Original language</mark>English

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.