WorldCat Identities

Silva, Ana Cannas da

Works: 4 works in 59 publications in 1 language and 1,085 library holdings
Roles: Author, Creator
Classifications: QA3, 514.74
Publication Timeline
Most widely held works by Ana Cannas da Silva
Lectures on symplectic geometry by Ana Cannas da Silva( Book )

36 editions published between 2001 and 2008 in English and held by 412 WorldCat member libraries worldwide

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved
Geometric models for noncommutative algebras by Ana Cannas da Silva( Book )

10 editions published between 1999 and 2000 in English and held by 203 WorldCat member libraries worldwide

Symplectic geometry of integrable Hamiltonian systems by Michèle Audin( Book )

10 editions published in 2003 in English and held by 199 WorldCat member libraries worldwide

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
Introduction to symplectic and Hamiltonian geometry by Ana Cannas da Silva( Book )

3 editions published between 2003 and 2011 in English and held by 7 WorldCat member libraries worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.72 (from 0.71 for Lectures o ... to 0.78 for Introducti ...)

Lectures on symplectic geometry
Alternative Names
Ana Cannas da Silva portugiesische Mathematikerin

Cannas da Silva, Ana.

Cannas da Silva, Ana 1968-

da Silva Ana Cannas

Silva, A. Cannas da 1968-

Silva Ana Cannas da

English (59)

Symplectic geometry of integrable Hamiltonian systems