On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces

Published 26 Jul 2013 in math.QA | (1307.7106v2)

Abstract: The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quantizing the Dolbeault-Dirac operator associated to the canonical spin^c structure.

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