Lagrangian Klein bottles in $S^{2}\times S^{2}$
Abstract
We use Luttinger surgery to show that there are no Lagrangian Klein bottles in {S^2\times S^2} in the \mathbb{Z}_{2} -homology class of an S^{2} -factor if the symplectic area of that factor is at least twice that of the other.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Mathematical Dynamics and Fractals
Distributed and Parallel Computing Systems
Publication details
- Journal / source
- Commentarii Mathematici Helvetici
- Publication date
- 28 April 2026
- Language
- EN