This volume collects together the contributions of many important rese archers, including Sir Roger himself, and gives an overview of the man y applications of geometrical ideas and techniques across mathematics and the physical sciences. From the area of pure mathematics papers ar e included on the topics of classical differential geometry and non-co mmutative geometry, knot invariants, and the applications of gauge the ory. Contributions from applied mathematics cover the topics of integr able systems and general relativity. Current research in experimental and theoretical physics inspired...
This volume collects together the contributions of many important rese archers, including Sir Roger himself, and gives an overview of the man y applic...
Based on courses held at the Feza GUrsey Institute, this collection of survey articles introduces advanced graduate students to an exciting area on the border of mathematics and mathematical physics. Including articles by key names such as Calogero, Donagi and Mason, it features the algebro-geometric material from Donagi as well as the twistor space methods in Woodhouse's contribution, forming a bridge between the pure mathematics and the more physical approaches.
Based on courses held at the Feza GUrsey Institute, this collection of survey articles introduces advanced graduate students to an exciting area on th...
Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation. Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat...
Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their gener...
Many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection. For example, the Korteweg-de Vries and non-linear Schrodinger equations are reductions of the self-dual Yang-Mills equation. This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems. It supports two central theories: that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory...
Many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection. For ...
