Geometry and Topology Seminar: Genericity of holomorphic discs with boundary
8 December 2016 13:00 in CM221
We will state the Theorem of Sard-Smale on regular values of Fredholm operators. Then we will apply this to the Cauchy-Riemann equation on the disc with boundary condition. The boundary condition takes the form of a two real dimensional surface in two complex dimensional space, which the graph of the holomorphic function inhabits. We finally show how Sard-Smale implies that the boundary problem under consideration has a solution for a dense open set of real surfaces in the complex surface.