The monopole equations and 𝐽-holomorphic curves on weakly convex almost Kähler 4-manifolds

Kanda, Yutaka

doi:10.1090/S0002-9947-01-02697-6

The monopole equations and $J$-holomorphic curves on weakly convex almost Kähler 4-manifolds
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Trans. Amer. Math. Soc. 353 (2001), 2215-2243 Request permission

Abstract:

We prove that a weakly convex almost Kähler 4-manifold contains a compact, non-constant $J$-holomorphic curve if the corresponding monopole invariant is not zero and if the corresponding line bundle is non-trivial.

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