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Twistor Operators in Symplectic Geometry

Publication at Faculty of Mathematics and Physics |
2022

Abstract

On a symplectic manifold equipped with a symplectic connection and a metaplectic structure, we define two families of sequences of differential operators, called the symplectic twistor operators. We prove that if the connection is torsion-free and Weyl-flat, the sequences in these families form complexes.