**Lectures on Symplectic Geometry**

by Ana Cannas da Silva

**Publisher**: Springer 2006**ISBN/ASIN**: 3540421955**ISBN-13**: 9783540421955**Number of pages**: 225

**Description**:

An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. From an introductory chapter of symplectic forms and symplectic algebra, the book moves on to many of the subjects that serve as the basis for current research: symplectomorphisms, Lagrangian submanifolds, the Moser theorems, Darboux-Moser-Weinstein theory, almost complex structures, KAhler structures, Hamiltonian mechanics, symplectic reduction, etc.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Contact Geometry**

by

**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.

(

**7588**views)

**Introduction to Symplectic and Hamiltonian Geometry**

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.

(

**10199**views)

**Differential Topology and Morse Theory**

by

**Dirk Schuetz**-

**University of Sheffield**

These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.

(

**7003**views)

**Introduction to Differential Topology**

by

**Uwe Kaiser**-

**Boise State University**

This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Many examples of manifolds are worked out in detail.

(

**6791**views)