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math.DG2015
An Integrability Theorem for Almost-Kähler Structures using J-anti-invariant Two-Forms on Four-Manifolds
Mehdi Lejmi, Markus Upmeier
We establish a new criterion for a compatible almost complex structure on a symplectic four-manifold to be integrable and hence Kähler. Our main theorem shows that the existence of…
math.DG2015★ 13 cited
Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
Yuri Kordyukov, Mehdi Lejmi, Patrick Weber
We define Seiberg-Witten equations on closed manifolds endowed with a Riemannian foliation of codimension 4. When the foliation is taut, we show compactness of the moduli space und…