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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Fiber cobordism and the index of a family of elliptic differential operators

Author(s): Weishu Shih
Journal: Bull. Amer. Math. Soc. 72 (1966), 984-991.
MathSciNet review: 0206988
Retrieve article in: PDF

References | Additional information

References:

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M. F. Atiyah and I. M. Singer, The index of elliptic operators on compact manifolds, Bull. Amer. Math. Soc. 69 (1963), 422-433. MR 157392
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A. Borel and J.-P. Serre, Le théorème de Riemann-Roch (d'apres Grothendieck), Bull. Soc. Math. France 86 (1958), 97-136. MR 116022
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H. Cartan and L. Schwartz, Séminaire E. N. S. Théorème d'Atiyah-Singer sur l'indice d'un operateur differential elliptique, (1963-1964).
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P. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, Berlin, 1963. MR 176478
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F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Springer, Berlin, 1956. MR 82174
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L. Illusie, Complexes quasi-acycliques directs de fibres banachiques, C. R. Acad. Sci. Paris 260 (1965), 6499-6502. MR 185608
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K. Janich, Vektorraumbuendel und der Raum der Fredholm Operatoren, Doctoral Dissertation, Universität Bonn, Germany.
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S. P. Novikov, nomotopic and topological invariance of certain rational classes of Pontrjagin, Dokl. Akad. Nauk 162 (1965), 1248-1251 = Soviet Math. Dokl. 6 (1965), 854-857. MR 180989
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R. S. Palais, Seminar on Atiyah-Singer index theorem, Annals of Mathematics Studies, No. 57, Princeton Univ. Press, Princeton, N. J., 1965. MR 198494
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R. T. Seeley, Integro-differential operators on vector bundles, Trans. Amer. Math. Soc. 117 (1965), 167-204. MR 173174
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Weishu Shih, Séminaire de topologie, Institut de Mathematiques, Lille, France, 1964.
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Weishu Shih, Characterization axiomatique du théorème de Riemann-Roch différentiable, C. R. Acad. Se. Paris, 261 (1965), 863-866. MR 189066
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I. M. Singer, Lecture on index theorem, Massachusetts Institute of Technology, Cambridge, Mass., 1965.
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Additional Information:

DOI: 10.1090/S0002-9904-1966-11612-9
PII: S 0002-9904(1966)11612-9




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