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Symplectic twistor operator and its solution space on $\mR^2$

Publikace na Matematicko-fyzikální fakulta |
2013

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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 $\mR^2$.