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arXiv · 2003.10305

Twisted Hochschild Homology of Quantum Flag Manifolds and K\"ahler Forms

Marco Matassa
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Abstract

We study the twisted Hochschild homology of quantum flag manifolds, the twist being the modular automorphism of the Haar state. We prove that every quantum flag manifold admits a non-trivial class in degree two, with an explicit representative defined in terms of a certain projection. The corresponding classical two-form, via the Hochschild-Kostant-Rosenberg theorem, is identified with a K\"ahler form on the flag manifold.

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Marco Matassa. 2020-03-23. Twisted Hochschild Homology of Quantum Flag Manifolds and K\"ahler Forms. https://doi.org/10.3842/sigma.2020.098

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