Singularities and positivity of intersections of J-holomorphic curves

  • Dusa McDuff
Part of the Progress in Mathematics book series (PM, volume 117)


This chapter is devoted to proving some of the main technical results about J-holomorphic curves which make them such a powerful tool when studying the geometry of symplectic 4-manifolds. We begin by establishing some elementary local properties of these curves. Next, we develop enough of the theory of deformations of J-holomorphic curves to prove the following result in Gromov [2, 2.2.C 2] on the positivity of intersections of two curves in an almost complex 4-manifold.


Modulus Space Intersection Number Holomorphic Curve Holomorphic Curf Adjunction Formula 
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© Springer Basel AG 1994

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  • Dusa McDuff

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