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Projective geometry,Lagrangian subspaces,and twistor theory
Authors:P. Campbell
Affiliation:(1) International Centre for Theoretical Physics, Trieste, Italy;(2) Present address: Department of Mathematics, University of Lancaster, LA1 4YL Bailrigg, Lancaster, England
Abstract:The use of projective geometry for the characterization of Lagrangian subspaces and maps among them is of particular interest for the symplectic manifold that is twistor space. We raise some conjectures on how these should be interpreted on the space-time manifold by making use of the structure of projective twistor space.
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