Geodesic
Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 Kähler form on the flag manifold.
Keywords: quantum flag manifolds, twisted Hochschild homology, Kähler forms. 
@article{SIGMA_2020_16_a97,
     author = {Marco Matassa},
     title = {Twisted {Hochschild} {Homology} {of~Quantum} {Flag} {Manifolds} and {K\"ahler} {Forms}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2020},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a97/}
}
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Marco Matassa. Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a97/

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