Bundles over quantum sphere and noncommutative index theorem
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Publication:1840668
DOI10.1023/A:1007824201738zbMath1029.58003arXivmath/9809086OpenAlexW2030769942MaRDI QIDQ1840668
Publication date: 1 February 2004
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9809086
positive conequantum sphereHopf Galois extensionsChern numbersnoncommutative index theoremquantum Hopf line bundles
Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)
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Circle and line bundles over generalized Weyl algebras ⋮ Gauged Laplacians on quantum Hopf bundles ⋮ Noncommutative index theory for mirror quantum spheres ⋮ Chern numbers for two families of noncommutative Hopf fibrations ⋮ The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces ⋮ Associated noncommutative vector bundles over the Vaksman–Soibelman quantum complex projective spaces ⋮ Dimensional reduction over the quantum sphere and non-Abelian \(q\)-vortices ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ Fibre product approach to index pairings for the generic Hopf fibration of SUq(2) ⋮ \(q\)-index on braided non-commutative spheres ⋮ Bijectivity of the canonical map for the non-commutative instanton bundle ⋮ On the noncommutative spin geometry of the standard Podleś sphere and index computations ⋮ Examples of gauged Laplacians on noncommutative spaces ⋮ A local index formula for the quantum sphere ⋮ An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras
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