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arXiv · 1307.7106

On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces

Ulrich Kraehmer·Matthew Tucker-Simmons
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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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Ulrich Kraehmer, Matthew Tucker-Simmons. 2014-12-21. On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces. https://arxiv.org/abs/1307.7106

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