scientific article; zbMATH DE number 2155802

zbMath1061.19500arXivmath/0012213MaRDI QIDQ4666489

Michael F. Atiyah

Publication date: 13 April 2005

Full work available at URL: https://arxiv.org/abs/math/0012213

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Verlinde algebraprojective bundlestopological \(K\)-theoryBott periodicity theoremnon-commutative \(C^*\)-algebraHirzebruch Riemann-Roch theoremGrothendieck Riemann-Roch theoremindex theorem for Dirac generatorstwisted \(K\)-theories

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) Development of contemporary mathematics (01A65) History of (K)-theory (19-03)

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Families index theorem in supersymmetric WZW model and twisted \(K\)-theory: the \(\mathrm{SU}(2)\) case ⋮ Type-II two-Higgs-doublet model in noncommutative geometry ⋮ Analytic torsion forms for fibrations by projective curves ⋮ Objective B-fields and a Hitchin-Kobayashi correspondence ⋮ Modules projectifs sur les anneaux de fonctions

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