Twistor Theory

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.

Preface, Contributors, 1. Thomas's D-Calculus, Parabolic Invariant Theory, and Conformal Invariants, 2. Cohomogeneity-One Kahler Metrics, 3. Another Integral Transform in Twistor Theory, 4. Twistors and Spin-3/2 Potentials in Quantum Gravity, 5. Analytic Cohomology of Blown-Up Twistor Spaces, 6. Geometric Aspects of Quantum Mechanics, 7. Anti-Self-Dual Riemannian 4-Manifolds, 8. Generalized Twistor Correspondences, d-Bar Problems, and the KP Equations, 9. Relative Deformation Theory and Differential Geometry, 10. Self-Duality and Connected Sums of Complex, Projective Planes, 11. Twistors and the Einstein Equations, 12. Remarks on the Period Mapping for 4-Dimensional Conformal Structures, 13. Cohomogeneity-One Metrics with Self-Dual Weyl Tensor ,14. Twistor Theory and Isomonodromy, Appendixes, Geometry of Relative Deformations.I, Geometry of Relative Deformations. II, Index

Stephen Huggett