Presents the proceedings of the recently held conference at the University of Plymouth. Papers describe recent work by leading researchers in twistor theory and cover a wide range of subjects, including conformal invariants, integral transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts, theoretical physicists, and graduate students in complex analysis, complex differential geometry, and mathematical physics.
Table of Contents
Thomas' D-calculus, parabolic invariant theory, and conformal invariants; cohomogeneity-one Kahler Metrics; another integral transform in Twistor Theory; twistors and spin-3/2 potentials in quantum gravity; analytic cohomology of blown-up twistor spaces; geometric aspects of quantum mechanics; anti-self-dual Riemannian 4-manifolds; generalized twist-or correspondence, d-bar problems, and the KP equations; Relative Deformation Theory and differential geometry; self-duality and connected sums of complex projective planes; twistors and the Einstein equations; remarks on the period mapping for 4-dimensional conformal structures; cohomogeneity-one metrics with self-dual Weyl tensor; Twistor Theory and isomonodromy. Appendix - geometry of relative deformations I and II.