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Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader. (English) Zbl 0551.58031
Universitext. New York etc.: Springer-Verlag. XVI, 451 p. DM 118.00 (1985).
See the review of the German original (1977) in Zbl 0364.58017.

58J20 Index theory and related fixed-point theorems on manifolds
47A53 (Semi-) Fredholm operators; index theories
55R25 Sphere bundles and vector bundles in algebraic topology
58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
55R45 Homology and homotopy of \(B\mathrm{O}\) and \(B\mathrm{U}\); Bott periodicity
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
58J40 Pseudodifferential and Fourier integral operators on manifolds