Lecture Notes on Embedded Contact Homology
by Michael Hutchings
Publisher: arXiv 2013
Number of pages: 88
Description:
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering together many basic notions which are scattered across a number of papers. We also discuss the origins of ECH, including various remarks and examples which have not been previously published. Finally, we review the recent application to four-dimensional symplectic embedding problems.
Download or read it online for free here:
Download link
(750KB, PDF)
Similar books
First Steps Towards a Symplectic Dynamicsby Barney Bramham, Helmut Hofer - arXiv
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.
(10657 views)
Symplectic, Poisson, and Noncommutative Geometryby Tohru Eguchi, et al. - Cambridge University Press
Symplectic geometry has its origin in physics, but has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics ...
(3957 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.
(11892 views)
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.
(10754 views)