Abstract
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.
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McDuff, D. (1994). Singularities and positivity of intersections of J-holomorphic curves. In: Audin, M., Lafontaine, J. (eds) Holomorphic Curves in Symplectic Geometry. Progress in Mathematics, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8508-9_7
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DOI: https://doi.org/10.1007/978-3-0348-8508-9_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9656-6
Online ISBN: 978-3-0348-8508-9
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