Lectures on Holomorphic Curves in Symplectic and Contact Geometry
by Chris Wendl
Publisher: arXiv 2010
Number of pages: 153
Description:
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves. From the table of contents: Introduction; Local properties; Fredholm theory; Moduli spaces; Bubbling and nonsqueezing.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
Symplectic Geometryby Ana Cannas da Silva - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(12909 views)
Introduction to Symplectic Field Theoryby Y. Eliashberg, A. Givental, H. Hofer - arXiv
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.
(12912 views)
Lecture Notes on Embedded Contact Homologyby Michael Hutchings - arXiv
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering many basic notions which are scattered across a number of papers. We also discuss the origins of ECH, including various remarks and examples.
(7700 views)
Introduction to Symplectic and Hamiltonian Geometryby Ana Cannas da Silva
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(14715 views)