Bounded and unbounded Fredholm modules for quantum projective spaces

DOI10.1017/is010001012jkt102zbMath1207.58008arXiv0903.3553OpenAlexW3100838643MaRDI QIDQ3061167

Francesco D'Andrea, Giovanni Landi

Publication date: 14 December 2010

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3553

zbMATH Keywords

noncommutative geometryquantum projective spacesFredholm modules

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) Noncommutative geometry (à la Connes) (58B34)

Related Items (12)

Veronese and Segre morphisms between non-commutative projective spaces ⋮ On Pythagoras theorem for products of spectral triples ⋮ A Hodge–de Rham Dirac operator on the quantum SU(2) ⋮ The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces ⋮ Noncommutative complex geometry of the quantum projective space ⋮ Associated noncommutative vector bundles over the Vaksman–Soibelman quantum complex projective spaces ⋮ Quantum weighted projective and Lens spaces ⋮ Quantum teardrops ⋮ The Gysin sequence for quantum Lens spaces ⋮ Projections over quantum homogeneous odd-dimensional spheres ⋮ The quantum flag manifold SU_q(3)/\mathbb{t}^2 as an example of a noncommutative sphere bundle ⋮ Notes on quantum weighted projective spaces and multidimensional teardrops

Cites Work

• Fredholm modules for quantum Euclidean spheres
• Quantum spheres and projective spaces as graph algebras
• Local index formula on the equatorial Podleś sphere

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