Pseudoholomorphic curve

In mathematics, specifically in topology and geometry, a pseudoholomorphic curve is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy-Riemann equation. Introduced in 1985 by Mikhail Gromov, pseudoholomorphic curves have since revolutionized the study of symplectic manifolds. In particular, they lead to the Gromov-Witten invariants, which play a crucial role in type IIA string theory.

Related Topics:
Mathematics - Topology - Geometry - Riemann surface - Almost complex manifold - Cauchy-Riemann equation - 1985 - Mikhail Gromov - Symplectic manifold - Gromov-Witten invariant - Type IIA - String theory

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