𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Atiyah–Hitchin bracket and the open Toda lattice

✍ Scribed by K.L. Vaninsky

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
197 KB
Volume
46
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Remarks on the Atiyah-Hitchin Metric
Remarks on the Atiyah-Hitchin Metric
✍ Ioannis Bakas 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 70 KB 👁 2 views

We outline the construction of the Atiyah-Hitchin metric on the moduli space of SU (2) BPS monopoles with charge 2, first as an algebraic curve in C 3 following Donaldson and then as a solution of the Toda field equations in the continual large N limit. We adopt twistor methods to solve the underlyi

The negative Toda hierarchy and rational
The negative Toda hierarchy and rational Poisson brackets
✍ Pantelis A. Damianou 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 135 KB

In this paper we extend the usual hierarchies for the finite, nonperiodic Toda lattice for negative values of the index. We define an infinite sequence of rational homogeneous Poisson brackets, master symmetries, invariants and investigate the various relationships between them. All the relations be

Controlability, stability and the n-dime
Controlability, stability and the n-dimensional Toda lattice
✍ Mircea Puta; Răzvan Tudoran 📂 Article 📅 2002 🏛 Elsevier Science 🌐 French ⚖ 69 KB

The controlability of the n-dimensional Toda lattice is discussed and some of its properties are pointed out.