J-Holomorphic Curves in Rough Almost Complex Structures
Source of Publication
Abstracts of Papers Presented at MathFest 2017
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to a manifold with almost complex structure J, that satisfies an analogue of the Cauchy-Riemann equations. When J is smooth, pseudoholomorphic curves have well-known regularity and uniqueness properties. I will survey what can happen when J is only continuous or satisfies a Hölder condition.
Analysis | Geometry and Topology | Mathematics
Adam Coffman (2017).
J-Holomorphic Curves in Rough Almost Complex Structures. Abstracts of Papers Presented at MathFest 2017. 54.Presented at MAA MathFest, Chicago, IL.