Microlocal complex foliation of \(R\)-Lagrangian \(CR\) submanifolds (Q1375755)

Let \(X\) be a complex manifold and \(X^R\) be the real analytic manifold underlying \(X\). Consider a submanifold \(M\) of \(X^R\) and suppose that the conormal bundle \(T^*_MX\) is regular and CR in the cotangent bundle \(T^*X\). The author proves that \(T^*_MX\) is locally defined on the zero set of the real and/or imaginary part of holomorphic symplectic coordinates of \(T^*X\). As an application he obtains a generalization of the celebrated Edge of the Wedge Theorem.