Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Author: Matassa, Marco
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211022
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms. Marco Matassa. SIGMA 16 (2020), 098, 18 pages

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 correspond...