Logo

First Steps Towards a Symplectic Dynamics

Small book cover: First Steps Towards a Symplectic Dynamics

First Steps Towards a Symplectic Dynamics
by

Publisher: arXiv
Number of pages: 60

Description:
Both the field of dynamical systems and the field of symplectic geometry have rich theories and the time seems ripe to develop the common core with highly integrated ideas from both fields. We discuss problems which show how dynamical systems questions and symplectic ideas come together in a nontrivial way.

Home page url

Download or read it online for free here:
Download link
(770KB, PDF)

Similar books

Book cover: Geometry of Quantum MechanicsGeometry of Quantum Mechanics
by - Stockholms universitet, Fysikum
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(9319 views)
Book cover: Lectures on the Geometry of QuantizationLectures on the Geometry of Quantization
by - University of California at Berkeley
An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.
(7960 views)
Book cover: An Introduction to Noncommutative Spaces and their GeometryAn Introduction to Noncommutative Spaces and their Geometry
by - arXiv
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(8031 views)
Book cover: Lectures on Calabi-Yau and Special Lagrangian GeometryLectures on Calabi-Yau and Special Lagrangian Geometry
by - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(7989 views)