Browsing TKD - Institutt for informasjonsteknologi by Subject "VDP::Matematikk og Naturvitenskap: 400"
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Fubini-Study metrics and Levi-Civita connections on quantum projective spaces
(Peer reviewed; Journal article, 2021)We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetric in the appropriate sense, in terms of ... -
Twisted hochschild homology of quantum flag manifolds and kähler forms
(SIGMA. Symmetry, Integrability and Geometry; 16 (2020), 098, Journal article; Peer reviewed, 2020-10-03)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 ...