Lectures on Holomorphic Curves in Symplectic and Contact Geometry

TL;DR

This paper provides an overview of holomorphic curves in symplectic and contact geometry, serving as lecture notes for a graduate course, with ongoing updates and incomplete sections.

Contribution

It offers an accessible exposition of holomorphic curves in symplectic and contact geometry, based on lecture notes from a graduate course.

Findings

Introduces foundational concepts in holomorphic curves

Summarizes key techniques in symplectic and contact geometry

Provides educational material for graduate students

Abstract

This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incomplete, but due to recent requests from readers, I've decided to make a presentable half-finished version available here. Further chapters will be added in future updates.