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Lagrangian Klein bottles in S2 × S2

2024/10/10 by Nikolas Adaloglou, Adaloglou, Nikolas, Jonathan David Evans +1
#53D12 #57K43 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2410.07782

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.

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