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
Contact Geometryby Hansjoerg Geiges - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(13421 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.
(16428 views)
Introduction to the Basics of Heegaard Floer Homologyby Bijan Sahamie - arXiv
This is an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. It is designed to be comprehensible to people without any prior knowledge of the subject.
(9042 views)
Symplectic Geometry of Quantum Noiseby Leonid Polterovich - arXiv
We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.
(11144 views)