**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

**Edinburgh Lectures on Geometry, Analysis and Physics**

by

**Michael Atiyah**-

**arXiv**

These notes are based on a set of six lectures that the author gave in Edinburgh and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and they may stimulate readers to investigate them.

(

**7555**views)

**Geometry and Topology in Electronic Structure Theory**

by

**Raffaele Resta**-

**University of Trieste**

From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.

(

**8334**views)

**Lectures on Calabi-Yau and Special Lagrangian Geometry**

by

**Dominic Joyce**-

**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.

(

**10327**views)

**Topology and Physics: A Historical Essay**

by

**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.

(

**11286**views)