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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.

##### MSC:
 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
##### Keywords:
Atiyah-Singer index formula; gauge-theoretic physics