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Transversality and the index theorem

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References

  1. M. F. Atiyah: Global Theory of Elliptic Operators, Proc. Int. Conf. Functional Analysis and Related Topics, Tokyo, (1969), 21–30.

  2. M. F. Atiyah, R. Bott, V. K. Patodi: On the Heat Equation and the Index Theorem, Inventiones Math. 19, (1973), 279–330

    Google Scholar 

  3. M. F. Atiyah, I. M. Singer: The Index of Elliptic operators, Part I, Annals of Math. 87 (1968), 484–530.

    Google Scholar 

  4. M. F. Atiyah, I. M. Singer: The Index of Elliptic Operators, Part III, Annals of Math. 87 (1968), 546–604.

    Google Scholar 

  5. S. Baaj. P. Julg: Theorie bivariante de Kasparov et Opérateurs non bornés, Compt. Rend. Acad. Scien., Paris, 296 (1983), 875–878.

    Google Scholar 

  6. J. Cheeger: On the spectral geometry of spaces with cone-like singularities, Proc. Nat. Acad. Sci. 76 (1979) 2103–6.

    Google Scholar 

  7. Idem, more extended version, preprint, 1979.

  8. J. Cheeger: On the Hodge Theory of Riemannian Pseudomanifolds, Proc. Symp. Pure Mathem. Vol. 36, (1980), 91–146.

    Google Scholar 

  9. J. Cheeger: Spectral Geometry of Singular Riemannian Spaces, J. Diff. Geom. 18 (1983) 575–657.

    Google Scholar 

  10. M. Goresky, R. MacPherson: Intersection Homology Theory, Part I, Topology 19, (1980), 135–162.

    Google Scholar 

  11. M. Hilsum: Opérateurs de Signature sur une Variété Lipschitzienne et Modules de Kasparov non bornés, Compt. Rend. Acad. Scien., Paris, 297 (1983) 49–52.

    Google Scholar 

  12. F. Hirzebruch: Topological Methods in Algebraic Geometry, 3rd ed. Springer-Verlag, (1966).

  13. G. Kasparov: The Operator K-functor and Extensions of C*-algebras, Math. USSR Izvestija, 16 (1981), 3, 513–572.

    Google Scholar 

  14. R. Kirby, L. Siebenmann: Foundational Essays on Topological Manifolds, Smoothings and Triangulations, Annals of Math. Stud. 88 (1977), Princeton.

  15. S. P. Novikov: Topological Invariance of Rational Pontrjagin Classes, Doklady, 163, (1965), 2, 921–923 (English translation).

    Google Scholar 

  16. R. Palais: Seminar on the Atiyah-Singer Index Theorem. Annals Math. Stud. 57, (1965), Princeton.

  17. J. P. Serre: Groupes d'homotopie et Classes des Groupes Abéliens, Ann. of Math., 58, (1953), 198–231.

    Google Scholar 

  18. N. Steenrod: Topology of Fibre Bundles, Princeton Univ. Press, Princeton, (1951).

    Google Scholar 

  19. D. Sullivan: Geometric Topology, Part I, M.I.T., (1970).

  20. D. Sullivan, N. Teleman: An Analytical Proof of Novikov's Theorem on Rational Pontrjagin Classes, Publ. Math. IHES, 58, (1983).

  21. N. Teleman: The Index of Signature Operators on Lipschitz Manifolds, Publ. Math. IHES, 58, (1983).

  22. N. Teleman: The Index Theorem for Topological Manifolds, Acta Mathem., Vol. 153 (1984), 117–152.

    Google Scholar 

  23. R. Thom: Les Classes Caractéristiques de Pontrjagin des Variétés Triangulées, Symp. Int. Top. Alg. Mexico, (1956), 54–67.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York, 11794, Stony Brook, New York, USA

    N. Teleman

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  1. N. Teleman
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Additional information

Research supported by the N.S.F. Grant N0 MCS 8102758. Paper revised while the author was visiting I.H.E.S., France.

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Teleman, N. Transversality and the index theorem. Integr equ oper theory 8, 693–719 (1985). https://doi.org/10.1007/BF01201710

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