Abstract
A Lorentz and general coordinate covariant form of canonical gravity, using Ashtekar's variables, is investigated. A covariant treatment due to Crnkovic and Witten is used, in which a point in phase space represents a solution of the equations of motion and a symplectic functional 2-form is constructed, which is Lorentz and general coordinate invariant. The subtleties and difficulties due to the complex nature of Ashtekar's variables are addressed and resolved.
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