Logo

Lecture Notes on Embedded Contact Homology

Small book cover: Lecture Notes on Embedded Contact Homology

Lecture Notes on Embedded Contact Homology
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(750KB, PDF)

Similar books

Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
by
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.
(8964 views)
Book cover: Introduction to Symplectic Field TheoryIntroduction to Symplectic Field Theory
by - 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.
(7447 views)
Book cover: Introduction to the Basics of Heegaard Floer HomologyIntroduction to the Basics of Heegaard Floer Homology
by - 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.
(3196 views)
Book cover: Symplectic GeometrySymplectic Geometry
by - 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.
(7897 views)