• Fubini-Study metrics and Levi-Civita connections on quantum projective spaces 

      Matassa, Marco (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 

      Matassa, Marco (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 ...