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Lagrangian Klein bottles in S^2 \times S^2

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Forthcoming
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<mark>Journal publication date</mark>22/01/2025
<mark>Journal</mark>Commentarii Mathematici Helvetici
Number of pages13
Publication StatusAccepted/In press
<mark>Original language</mark>English

Abstract

We use Luttinger surgery to show that there are no Lagrangian Klein bottles in S2×S2 in the Z2-homology class of an S2-factor if the symplectic area of that factor is at least twice that of the other.