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Atiyah, Michael F.; Hirzebruch, Friedrich

Riemann-Roch theorems for differentiable manifolds. (English) Zbl 0142.40901

Bull. Am. Math. Soc. 65, 276-281 (1959).
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topology
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\textit{M. F. Atiyah} and \textit{F. Hirzebruch}, Bull. Am. Math. Soc. 65, 276--281 (1959; Zbl 0142.40901)
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References:

[1] M. F. Atiyah and F. Hirzebruch, Some non-embeddability theorems for differentiable manifolds, Colloque de Topologie, Lille, 1959. · Zbl 0196.55903
[2] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces. I, Amer. J. Math. 80 (1958), 458 – 538. · Zbl 0097.36401
[3] Armand Borel and Jean-Pierre Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97 – 136 (French). · Zbl 0091.33004
[4] Raoul Bott, The stable homotopy of the classical groups, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 933 – 935. · Zbl 0093.03401
[5] Raoul Bott, The space of loops on a Lie group, Michigan Math. J. 5 (1958), 35 – 61. · Zbl 0096.17701
[6] R. Bott, Some remarks on the periodicity theorems, Colloque de Topologie, Lille, 1959.
[7] F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete (N.F.), Heft 9, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956 (German). · Zbl 0101.38301
[8] Friedrich Hirzebruch, Some problems on differentiable and complex manifolds, Ann. of Math. (2) 60 (1954), 213 – 236. · Zbl 0056.16803
[9] I. M. James and J. H. C. Whitehead, The homotopy theory of sphere bundles over spheres. I, Proc. London Math. Soc. (3) 4 (1954), 196 – 218. · Zbl 0056.16703
[10] M. A. Kervaire and J. Milnor, Bernoulli numbers, homotopy groups and a theorem of Rohlin. Proceedings of the International Congress of Mathematicians, 1958. · Zbl 0119.38503
[11] J. Milnor, On the cobordisme ring \Omega *, and a complex analogue, (in preparation). · Zbl 0095.16702
[12] V. A. Rohlin, New results in the theory of four-dimensional manifolds, Doklady Akad. Nauk SSSR (N.S.) 84 (1952), 221 – 224 (Russian).
[13] R. Thom, Une théorie intrinsèque des puissances de Steenrod, Colloque de Topologie de Strasbourg, 1951, no. VII, La Bibliothèque Nationale et Universitaire de Strasbourg, 1952, pp. 13 (French). · Zbl 0049.39905
[14] Wen-tsün Wu, On Pontrjagin classes. III, Acta Math. Sinica 4 (1954), 323 – 346 (Chinese, with English summary). · Zbl 0057.15601
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