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

Adaloglou, Nikolas and Evans, Jonny (2025) Lagrangian Klein bottles in S^2 \times S^2. Commentarii Mathematici Helvetici. ISSN 0010-2571 (In Press)

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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.