On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces
Quantum Algebra
2014-12-23 v2
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.
Keywords
Cite
@article{arxiv.1307.7106,
title = {On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces},
author = {Ulrich Kraehmer and Matthew Tucker-Simmons},
journal= {arXiv preprint arXiv:1307.7106},
year = {2014}
}
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25 pages