Geodesic
Symplectic twistor operator and its solution space on ${\mathbb{R}}^2$
Archivum mathematicum, Tome 49 (2013) no. 3, pp. 161-185 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We introduce the symplectic twistor operator $T_s$ in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on ${\mathbb{R}}^2$.
We introduce the symplectic twistor operator $T_s$ in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on ${\mathbb{R}}^2$.
DOI : 10.5817/AM2013-3-161
Classification : 53C27, 53D05, 81R25
Keywords: symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator 
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Dostálová, Marie; Somberg, Petr. Symplectic twistor operator and its solution space on ${\mathbb{R}}^2$. Archivum mathematicum, Tome 49 (2013) no. 3, pp. 161-185. doi: 10.5817/AM2013-3-161

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