Title

J-Holomorphic Curves in Rough Almost Complex Structures

Document Type

Presentation

Presentation Date

7-27-2017

Conference Name

MAA MathFest

Conference Location

Chicago, IL

Source of Publication

Abstracts of Papers Presented at MathFest 2017

Inclusive pages

54

Peer Review

Contributed

Abstract

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.

Disciplines

Analysis | Geometry and Topology | Mathematics

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