First Steps Towards a Symplectic Dynamics
by Barney Bramham, Helmut Hofer
Publisher: arXiv 2011
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.
Download or read it online for free here:
Download link
(770KB, PDF)
Similar books
Geometry and Group Theoryby Christopher Pope - Texas A&M University
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
(18935 views)
Lectures on the Geometry of Quantizationby Sean Bates, Alan Weinstein - 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.
(11946 views)
Topology and Physics: A Historical Essayby C. Nash - arXiv
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(13577 views)
Lectures on complex geometry, Calabi-Yau manifolds and toric geometryby Vincent Bouchard - arXiv
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(8801 views)