Lectures on Holomorphic Curves in Symplectic and Contact Geometry
by Chris Wendl
Publisher: arXiv 2010
Number of pages: 153
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.
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by 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.
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Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
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