Twistor theory, self-duality and integrability. (English) Zbl 0910.32036

Slovák, Jan (ed.), Proceedings of the 15th Winter School on geometry and physics, Srní, Czech Republic, January 14–21, 1995. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 43, 77-84 (1996).
From the introduction: “Since these lectures were given, a book containing much of the material presented in these lectures has appeared [L. J. Mason and N. M. J. Woodhouse, ‘Integrability, self-duality and twistor theory’ (1996; Zbl 0856.58002)]. The following contribution will therefore just be a brief summary of the lectures and the reader is referred to the book for a full presentation and the details”.
For the entire collection see [Zbl 0884.00042].


32L81 Applications of holomorphic fiber spaces to the sciences
32L25 Twistor theory, double fibrations (complex-analytic aspects)
81T13 Yang-Mills and other gauge theories in quantum field theory
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)


Zbl 0856.58002