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
Thomas' D-calculus, Parabolic Invariant Theory, and Conformal Invariants
T. N. Bailey
Cohomogeneity-One Kahler Metrics
Andrew S. Dancer and Ian A. B. Strachan
Another Integral Transform in Twistor Theory
Michael Eastwood
Twistors and Spin-3/2 Potentials in Quantum Gravity
Giampiero Esposito and Giuseppe Pollifrone
Analytic Cohomology of Blown-up Twistor Spaces
Robin Horan
Geometric Aspects of Quantum Mechanics
L. P. Hughston
Anti-Self-Dual Riemannian 4-Manifolds
Claude LeBrun
Generalized Twist-or Correspondence, d-Bar Problems, and the KP equations
L. J. Mason
Relative Deformation Theory and Differential Geometry
Sergey A. Merkulov
Self-duality and Connected Sums of Complex Projective Planes
Henrik Pedersen
Twistors and the Einstein Equations
Roger Penrose
Remarks on the Period Mapping for 4-dimensional Conformal Structures
Michael Singer
Cohomogeneity-One Metrics with Self-Dual Weyl Tensor
K. P. Tod
Twistor Theory and Isomonodromy
N. M. J. Woodhouse
Appendixes
Geometry of Relative Deformations. I
Sergey A. Merkulov
Geometry of Relative Deformations. II
Sergey A. Merkulov and Henrik Pedersen
Index
Biography
Stephen Huggett
