Introducing topological K-theory:
M. F. Atiyah, F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math Soc. vol. 65 (1959) pp. 276-281 (euclid:bams/1183523205)
M. F. Atiyah, F. Hirzebruch, Vector bundles and homogeneous spaces, 1961, Proc. Sympos. Pure Math., Vol. III pp. 7–38 American Mathematical Society, Providence, R.I. (doi:10.1142/9789814401319_0008, web, MR 0139181)
On elliptic genera and the rigidity theorem for elliptic genera:
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